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Finding the Fourth Proportional to 31,593.14, 47,348.58 and 12,851.32

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Solution

The fourth proportional to 31,593.14, 47,348.58 and 12,851.32 is: 19,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.14 : 47,348.58 = 12,851.32 : x
  2. Step 2: Convert to fraction form
    31,593.14/47,348.58 = 12,851.32/x
  3. Step 3: Cross multiply
    31,593.14x = 47,348.58 × 12,851.32
  4. Step 4: Simplify right side
    31,593.14x = 608,491,753.13
  5. Step 5: Solve for x
    x = 608,491,753.13/31,593.14
  6. Step 6: Final answer
    x = 19,260.25

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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.