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Finding the Fourth Proportional to 51,591.32, 71,194.49 and 31,440.84

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Solution

The fourth proportional to 51,591.32, 71,194.49 and 31,440.84 is: 43,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,591.32 : 71,194.49 = 31,440.84 : x
  2. Step 2: Convert to fraction form
    51,591.32/71,194.49 = 31,440.84/x
  3. Step 3: Cross multiply
    51,591.32x = 71,194.49 × 31,440.84
  4. Step 4: Simplify right side
    51,591.32x = 2,238,414,411.77
  5. Step 5: Solve for x
    x = 2,238,414,411.77/51,591.32
  6. Step 6: Final answer
    x = 43,387.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.