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Finding the Fourth Proportional to 31,183, 43,033.49 and 17,036.76

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Solution

The fourth proportional to 31,183, 43,033.49 and 17,036.76 is: 23,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183 : 43,033.49 = 17,036.76 : x
  2. Step 2: Convert to fraction form
    31,183/43,033.49 = 17,036.76/x
  3. Step 3: Cross multiply
    31,183x = 43,033.49 × 17,036.76
  4. Step 4: Simplify right side
    31,183x = 733,151,241.09
  5. Step 5: Solve for x
    x = 733,151,241.09/31,183
  6. Step 6: Final answer
    x = 23,511.25

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.