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Finding the Fourth Proportional to 31,046.44, 42,844.08 and 16,899.38

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Solution

The fourth proportional to 31,046.44, 42,844.08 and 16,899.38 is: 23,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.44 : 42,844.08 = 16,899.38 : x
  2. Step 2: Convert to fraction form
    31,046.44/42,844.08 = 16,899.38/x
  3. Step 3: Cross multiply
    31,046.44x = 42,844.08 × 16,899.38
  4. Step 4: Simplify right side
    31,046.44x = 724,038,388.67
  5. Step 5: Solve for x
    x = 724,038,388.67/31,046.44
  6. Step 6: Final answer
    x = 23,321.14

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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.