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Finding the Fourth Proportional to 31,820.56, 47,711.88 and 12,100.60

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Solution

The fourth proportional to 31,820.56, 47,711.88 and 12,100.60 is: 18,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.56 : 47,711.88 = 12,100.60 : x
  2. Step 2: Convert to fraction form
    31,820.56/47,711.88 = 12,100.60/x
  3. Step 3: Cross multiply
    31,820.56x = 47,711.88 × 12,100.60
  4. Step 4: Simplify right side
    31,820.56x = 577,342,375.13
  5. Step 5: Solve for x
    x = 577,342,375.13/31,820.56
  6. Step 6: Final answer
    x = 18,143.69

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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.