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Finding the Fourth Proportional to 82,658.49, 123,889.31 and 57,562.66

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Solution

The fourth proportional to 82,658.49, 123,889.31 and 57,562.66 is: 86,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.49 : 123,889.31 = 57,562.66 : x
  2. Step 2: Convert to fraction form
    82,658.49/123,889.31 = 57,562.66/x
  3. Step 3: Cross multiply
    82,658.49x = 123,889.31 × 57,562.66
  4. Step 4: Simplify right side
    82,658.49x = 7,131,398,229.16
  5. Step 5: Solve for x
    x = 7,131,398,229.16/82,658.49
  6. Step 6: Final answer
    x = 86,275.45

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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.