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Finding the Fourth Proportional to 39,404.47, 54,398.24 and 30,431.83

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Solution

The fourth proportional to 39,404.47, 54,398.24 and 30,431.83 is: 42,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,404.47 : 54,398.24 = 30,431.83 : x
  2. Step 2: Convert to fraction form
    39,404.47/54,398.24 = 30,431.83/x
  3. Step 3: Cross multiply
    39,404.47x = 54,398.24 × 30,431.83
  4. Step 4: Simplify right side
    39,404.47x = 1,655,437,991.98
  5. Step 5: Solve for x
    x = 1,655,437,991.98/39,404.47
  6. Step 6: Final answer
    x = 42,011.43

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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.