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Finding the Fourth Proportional to 31,543.62, 47,308.14 and 9,351.65

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Solution

The fourth proportional to 31,543.62, 47,308.14 and 9,351.65 is: 14,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.62 : 47,308.14 = 9,351.65 : x
  2. Step 2: Convert to fraction form
    31,543.62/47,308.14 = 9,351.65/x
  3. Step 3: Cross multiply
    31,543.62x = 47,308.14 × 9,351.65
  4. Step 4: Simplify right side
    31,543.62x = 442,408,930.89
  5. Step 5: Solve for x
    x = 442,408,930.89/31,543.62
  6. Step 6: Final answer
    x = 14,025.31

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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.