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Finding the Fourth Proportional to 71,809.50, 107,734.74 and 24,434.97

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Solution

The fourth proportional to 71,809.50, 107,734.74 and 24,434.97 is: 36,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.50 : 107,734.74 = 24,434.97 : x
  2. Step 2: Convert to fraction form
    71,809.50/107,734.74 = 24,434.97/x
  3. Step 3: Cross multiply
    71,809.50x = 107,734.74 × 24,434.97
  4. Step 4: Simplify right side
    71,809.50x = 2,632,495,139.86
  5. Step 5: Solve for x
    x = 2,632,495,139.86/71,809.50
  6. Step 6: Final answer
    x = 36,659.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.