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Finding the Fourth Proportional to 77,132.30, 115,805.52 and 39,719.10

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Solution

The fourth proportional to 77,132.30, 115,805.52 and 39,719.10 is: 59,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132.30 : 115,805.52 = 39,719.10 : x
  2. Step 2: Convert to fraction form
    77,132.30/115,805.52 = 39,719.10/x
  3. Step 3: Cross multiply
    77,132.30x = 115,805.52 × 39,719.10
  4. Step 4: Simplify right side
    77,132.30x = 4,599,691,029.43
  5. Step 5: Solve for x
    x = 4,599,691,029.43/77,132.30
  6. Step 6: Final answer
    x = 59,633.79

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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.