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Finding the Fourth Proportional to 31,471.12, 47,195.44 and 10,407.27

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Solution

The fourth proportional to 31,471.12, 47,195.44 and 10,407.27 is: 15,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.12 : 47,195.44 = 10,407.27 : x
  2. Step 2: Convert to fraction form
    31,471.12/47,195.44 = 10,407.27/x
  3. Step 3: Cross multiply
    31,471.12x = 47,195.44 × 10,407.27
  4. Step 4: Simplify right side
    31,471.12x = 491,175,686.85
  5. Step 5: Solve for x
    x = 491,175,686.85/31,471.12
  6. Step 6: Final answer
    x = 15,607.19

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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.