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Finding the Fourth Proportional to 31,704.76, 47,557.68 and 11,992.60

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Solution

The fourth proportional to 31,704.76, 47,557.68 and 11,992.60 is: 17,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.76 : 47,557.68 = 11,992.60 : x
  2. Step 2: Convert to fraction form
    31,704.76/47,557.68 = 11,992.60/x
  3. Step 3: Cross multiply
    31,704.76x = 47,557.68 × 11,992.60
  4. Step 4: Simplify right side
    31,704.76x = 570,340,233.17
  5. Step 5: Solve for x
    x = 570,340,233.17/31,704.76
  6. Step 6: Final answer
    x = 17,989.10

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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.