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Finding the Fourth Proportional to 31,508.68, 47,263.08 and 29,584.12

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Solution

The fourth proportional to 31,508.68, 47,263.08 and 29,584.12 is: 44,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.68 : 47,263.08 = 29,584.12 : x
  2. Step 2: Convert to fraction form
    31,508.68/47,263.08 = 29,584.12/x
  3. Step 3: Cross multiply
    31,508.68x = 47,263.08 × 29,584.12
  4. Step 4: Simplify right side
    31,508.68x = 1,398,236,630.29
  5. Step 5: Solve for x
    x = 1,398,236,630.29/31,508.68
  6. Step 6: Final answer
    x = 44,376.24

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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.