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Finding the Fourth Proportional to 78,087.40, 107,759.31 and 42,277.12

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Solution

The fourth proportional to 78,087.40, 107,759.31 and 42,277.12 is: 58,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,087.40 : 107,759.31 = 42,277.12 : x
  2. Step 2: Convert to fraction form
    78,087.40/107,759.31 = 42,277.12/x
  3. Step 3: Cross multiply
    78,087.40x = 107,759.31 × 42,277.12
  4. Step 4: Simplify right side
    78,087.40x = 4,555,753,279.99
  5. Step 5: Solve for x
    x = 4,555,753,279.99/78,087.40
  6. Step 6: Final answer
    x = 58,341.72

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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.