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Finding the Fourth Proportional to 53,909.72, 74,395.93 and 29,711.56

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Solution

The fourth proportional to 53,909.72, 74,395.93 and 29,711.56 is: 41,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.72 : 74,395.93 = 29,711.56 : x
  2. Step 2: Convert to fraction form
    53,909.72/74,395.93 = 29,711.56/x
  3. Step 3: Cross multiply
    53,909.72x = 74,395.93 × 29,711.56
  4. Step 4: Simplify right side
    53,909.72x = 2,210,419,350.06
  5. Step 5: Solve for x
    x = 2,210,419,350.06/53,909.72
  6. Step 6: Final answer
    x = 41,002.24

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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.