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Finding the Fourth Proportional to 52,722.68, 72,755.13 and 31,513.64

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Solution

The fourth proportional to 52,722.68, 72,755.13 and 31,513.64 is: 43,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722.68 : 72,755.13 = 31,513.64 : x
  2. Step 2: Convert to fraction form
    52,722.68/72,755.13 = 31,513.64/x
  3. Step 3: Cross multiply
    52,722.68x = 72,755.13 × 31,513.64
  4. Step 4: Simplify right side
    52,722.68x = 2,292,778,974.97
  5. Step 5: Solve for x
    x = 2,292,778,974.97/52,722.68
  6. Step 6: Final answer
    x = 43,487.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.