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Finding the Fourth Proportional to 31,562.40, 47,351.01 and 9,375.96

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Solution

The fourth proportional to 31,562.40, 47,351.01 and 9,375.96 is: 14,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.40 : 47,351.01 = 9,375.96 : x
  2. Step 2: Convert to fraction form
    31,562.40/47,351.01 = 9,375.96/x
  3. Step 3: Cross multiply
    31,562.40x = 47,351.01 × 9,375.96
  4. Step 4: Simplify right side
    31,562.40x = 443,961,175.72
  5. Step 5: Solve for x
    x = 443,961,175.72/31,562.40
  6. Step 6: Final answer
    x = 14,066.14

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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.