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Finding the Fourth Proportional to 31,553.86, 47,330.62 and 7,861.30

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Solution

The fourth proportional to 31,553.86, 47,330.62 and 7,861.30 is: 11,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.86 : 47,330.62 = 7,861.30 : x
  2. Step 2: Convert to fraction form
    31,553.86/47,330.62 = 7,861.30/x
  3. Step 3: Cross multiply
    31,553.86x = 47,330.62 × 7,861.30
  4. Step 4: Simplify right side
    31,553.86x = 372,080,203.01
  5. Step 5: Solve for x
    x = 372,080,203.01/31,553.86
  6. Step 6: Final answer
    x = 11,791.91

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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.