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Finding the Fourth Proportional to 78,759.30, 108,685.86 and 42,950

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Solution

The fourth proportional to 78,759.30, 108,685.86 and 42,950 is: 59,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,759.30 : 108,685.86 = 42,950 : x
  2. Step 2: Convert to fraction form
    78,759.30/108,685.86 = 42,950/x
  3. Step 3: Cross multiply
    78,759.30x = 108,685.86 × 42,950
  4. Step 4: Simplify right side
    78,759.30x = 4,668,057,687
  5. Step 5: Solve for x
    x = 4,668,057,687/78,759.30
  6. Step 6: Final answer
    x = 59,269.92

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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.