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Finding the Fourth Proportional to 31,517.60, 47,272.56 and 8,142.08

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Solution

The fourth proportional to 31,517.60, 47,272.56 and 8,142.08 is: 12,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.60 : 47,272.56 = 8,142.08 : x
  2. Step 2: Convert to fraction form
    31,517.60/47,272.56 = 8,142.08/x
  3. Step 3: Cross multiply
    31,517.60x = 47,272.56 × 8,142.08
  4. Step 4: Simplify right side
    31,517.60x = 384,896,965.32
  5. Step 5: Solve for x
    x = 384,896,965.32/31,517.60
  6. Step 6: Final answer
    x = 12,212.13

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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.