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Finding the Fourth Proportional to 31,438.80, 47,158.17 and 8,065.24

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Solution

The fourth proportional to 31,438.80, 47,158.17 and 8,065.24 is: 12,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.80 : 47,158.17 = 8,065.24 : x
  2. Step 2: Convert to fraction form
    31,438.80/47,158.17 = 8,065.24/x
  3. Step 3: Cross multiply
    31,438.80x = 47,158.17 × 8,065.24
  4. Step 4: Simplify right side
    31,438.80x = 380,341,810.87
  5. Step 5: Solve for x
    x = 380,341,810.87/31,438.80
  6. Step 6: Final answer
    x = 12,097.85

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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.