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Finding the Fourth Proportional to 31,502.81, 47,255.13 and 8,129.25

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Solution

The fourth proportional to 31,502.81, 47,255.13 and 8,129.25 is: 12,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.81 : 47,255.13 = 8,129.25 : x
  2. Step 2: Convert to fraction form
    31,502.81/47,255.13 = 8,129.25/x
  3. Step 3: Cross multiply
    31,502.81x = 47,255.13 × 8,129.25
  4. Step 4: Simplify right side
    31,502.81x = 384,148,765.55
  5. Step 5: Solve for x
    x = 384,148,765.55/31,502.81
  6. Step 6: Final answer
    x = 12,194.11

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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.