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Finding the Fourth Proportional to 31,902.92, 44,025.10 and 17,755.46

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Solution

The fourth proportional to 31,902.92, 44,025.10 and 17,755.46 is: 24,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.92 : 44,025.10 = 17,755.46 : x
  2. Step 2: Convert to fraction form
    31,902.92/44,025.10 = 17,755.46/x
  3. Step 3: Cross multiply
    31,902.92x = 44,025.10 × 17,755.46
  4. Step 4: Simplify right side
    31,902.92x = 781,685,902.05
  5. Step 5: Solve for x
    x = 781,685,902.05/31,902.92
  6. Step 6: Final answer
    x = 24,502.02

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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.