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Finding the Fourth Proportional to 29,930.40, 41,295.87 and 17,009.49

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Solution

The fourth proportional to 29,930.40, 41,295.87 and 17,009.49 is: 23,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.40 : 41,295.87 = 17,009.49 : x
  2. Step 2: Convert to fraction form
    29,930.40/41,295.87 = 17,009.49/x
  3. Step 3: Cross multiply
    29,930.40x = 41,295.87 × 17,009.49
  4. Step 4: Simplify right side
    29,930.40x = 702,421,687.81
  5. Step 5: Solve for x
    x = 702,421,687.81/29,930.40
  6. Step 6: Final answer
    x = 23,468.50

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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.