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Finding the Fourth Proportional to 29,641.71, 40,906.22 and 17,702.81

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Solution

The fourth proportional to 29,641.71, 40,906.22 and 17,702.81 is: 24,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641.71 : 40,906.22 = 17,702.81 : x
  2. Step 2: Convert to fraction form
    29,641.71/40,906.22 = 17,702.81/x
  3. Step 3: Cross multiply
    29,641.71x = 40,906.22 × 17,702.81
  4. Step 4: Simplify right side
    29,641.71x = 724,154,747.43
  5. Step 5: Solve for x
    x = 724,154,747.43/29,641.71
  6. Step 6: Final answer
    x = 24,430.26

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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.