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Finding the Fourth Proportional to 31,463.12, 47,194.68 and 8,089.58

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Solution

The fourth proportional to 31,463.12, 47,194.68 and 8,089.58 is: 12,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.12 : 47,194.68 = 8,089.58 : x
  2. Step 2: Convert to fraction form
    31,463.12/47,194.68 = 8,089.58/x
  3. Step 3: Cross multiply
    31,463.12x = 47,194.68 × 8,089.58
  4. Step 4: Simplify right side
    31,463.12x = 381,785,139.43
  5. Step 5: Solve for x
    x = 381,785,139.43/31,463.12
  6. Step 6: Final answer
    x = 12,134.37

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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.