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Finding the Fourth Proportional to 31,761.60, 47,642.72 and 12,034.84

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Solution

The fourth proportional to 31,761.60, 47,642.72 and 12,034.84 is: 18,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.60 : 47,642.72 = 12,034.84 : x
  2. Step 2: Convert to fraction form
    31,761.60/47,642.72 = 12,034.84/x
  3. Step 3: Cross multiply
    31,761.60x = 47,642.72 × 12,034.84
  4. Step 4: Simplify right side
    31,761.60x = 573,372,512.36
  5. Step 5: Solve for x
    x = 573,372,512.36/31,761.60
  6. Step 6: Final answer
    x = 18,052.38

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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.