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Finding the Fourth Proportional to 31,613.81, 47,423.45 and 8,240.25

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Solution

The fourth proportional to 31,613.81, 47,423.45 and 8,240.25 is: 12,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.81 : 47,423.45 = 8,240.25 : x
  2. Step 2: Convert to fraction form
    31,613.81/47,423.45 = 8,240.25/x
  3. Step 3: Cross multiply
    31,613.81x = 47,423.45 × 8,240.25
  4. Step 4: Simplify right side
    31,613.81x = 390,781,104.46
  5. Step 5: Solve for x
    x = 390,781,104.46/31,613.81
  6. Step 6: Final answer
    x = 12,361.09

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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.