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Finding the Fourth Proportional to 82,565.87, 123,854.87 and 25,632.32

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Solution

The fourth proportional to 82,565.87, 123,854.87 and 25,632.32 is: 38,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,565.87 : 123,854.87 = 25,632.32 : x
  2. Step 2: Convert to fraction form
    82,565.87/123,854.87 = 25,632.32/x
  3. Step 3: Cross multiply
    82,565.87x = 123,854.87 × 25,632.32
  4. Step 4: Simplify right side
    82,565.87x = 3,174,687,106.20
  5. Step 5: Solve for x
    x = 3,174,687,106.20/82,565.87
  6. Step 6: Final answer
    x = 38,450.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.