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Finding the Fourth Proportional to 31,458.52, 47,180.22 and 9,265.90

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Solution

The fourth proportional to 31,458.52, 47,180.22 and 9,265.90 is: 13,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.52 : 47,180.22 = 9,265.90 : x
  2. Step 2: Convert to fraction form
    31,458.52/47,180.22 = 9,265.90/x
  3. Step 3: Cross multiply
    31,458.52x = 47,180.22 × 9,265.90
  4. Step 4: Simplify right side
    31,458.52x = 437,167,200.50
  5. Step 5: Solve for x
    x = 437,167,200.50/31,458.52
  6. Step 6: Final answer
    x = 13,896.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.