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Finding the Fourth Proportional to 55,687.80, 83,531.70 and 42,565.80

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Solution

The fourth proportional to 55,687.80, 83,531.70 and 42,565.80 is: 63,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.80 : 83,531.70 = 42,565.80 : x
  2. Step 2: Convert to fraction form
    55,687.80/83,531.70 = 42,565.80/x
  3. Step 3: Cross multiply
    55,687.80x = 83,531.70 × 42,565.80
  4. Step 4: Simplify right side
    55,687.80x = 3,555,593,635.86
  5. Step 5: Solve for x
    x = 3,555,593,635.86/55,687.80
  6. Step 6: Final answer
    x = 63,848.70

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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.