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Finding the Fourth Proportional to 31,613.25, 47,421.09 and 8,239.89

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Solution

The fourth proportional to 31,613.25, 47,421.09 and 8,239.89 is: 12,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.25 : 47,421.09 = 8,239.89 : x
  2. Step 2: Convert to fraction form
    31,613.25/47,421.09 = 8,239.89/x
  3. Step 3: Cross multiply
    31,613.25x = 47,421.09 × 8,239.89
  4. Step 4: Simplify right side
    31,613.25x = 390,744,565.28
  5. Step 5: Solve for x
    x = 390,744,565.28/31,613.25
  6. Step 6: Final answer
    x = 12,360.15

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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.