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Finding the Fourth Proportional to 55,024.39, 82,542.05 and 19,966.78

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Solution

The fourth proportional to 55,024.39, 82,542.05 and 19,966.78 is: 29,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,024.39 : 82,542.05 = 19,966.78 : x
  2. Step 2: Convert to fraction form
    55,024.39/82,542.05 = 19,966.78/x
  3. Step 3: Cross multiply
    55,024.39x = 82,542.05 × 19,966.78
  4. Step 4: Simplify right side
    55,024.39x = 1,648,098,953.10
  5. Step 5: Solve for x
    x = 1,648,098,953.10/55,024.39
  6. Step 6: Final answer
    x = 29,952.15

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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.