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Finding the Fourth Proportional to 31,442.10, 47,163.18 and 8,068.56

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Solution

The fourth proportional to 31,442.10, 47,163.18 and 8,068.56 is: 12,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.10 : 47,163.18 = 8,068.56 : x
  2. Step 2: Convert to fraction form
    31,442.10/47,163.18 = 8,068.56/x
  3. Step 3: Cross multiply
    31,442.10x = 47,163.18 × 8,068.56
  4. Step 4: Simplify right side
    31,442.10x = 380,538,947.62
  5. Step 5: Solve for x
    x = 380,538,947.62/31,442.10
  6. Step 6: Final answer
    x = 12,102.85

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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.