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Finding the Fourth Proportional to 31,462.48, 47,222.92 and 15,891.04

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Solution

The fourth proportional to 31,462.48, 47,222.92 and 15,891.04 is: 23,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.48 : 47,222.92 = 15,891.04 : x
  2. Step 2: Convert to fraction form
    31,462.48/47,222.92 = 15,891.04/x
  3. Step 3: Cross multiply
    31,462.48x = 47,222.92 × 15,891.04
  4. Step 4: Simplify right side
    31,462.48x = 750,421,310.64
  5. Step 5: Solve for x
    x = 750,421,310.64/31,462.48
  6. Step 6: Final answer
    x = 23,851.31

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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.