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Finding the Fourth Proportional to 76,357.57, 114,419.45 and 31,960.15

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Solution

The fourth proportional to 76,357.57, 114,419.45 and 31,960.15 is: 47,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.57 : 114,419.45 = 31,960.15 : x
  2. Step 2: Convert to fraction form
    76,357.57/114,419.45 = 31,960.15/x
  3. Step 3: Cross multiply
    76,357.57x = 114,419.45 × 31,960.15
  4. Step 4: Simplify right side
    76,357.57x = 3,656,862,053.02
  5. Step 5: Solve for x
    x = 3,656,862,053.02/76,357.57
  6. Step 6: Final answer
    x = 47,891.29

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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.