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Finding the Fourth Proportional to 31,613.45, 47,422.89 and 8,239.88

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Solution

The fourth proportional to 31,613.45, 47,422.89 and 8,239.88 is: 12,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.45 : 47,422.89 = 8,239.88 : x
  2. Step 2: Convert to fraction form
    31,613.45/47,422.89 = 8,239.88/x
  3. Step 3: Cross multiply
    31,613.45x = 47,422.89 × 8,239.88
  4. Step 4: Simplify right side
    31,613.45x = 390,758,685.74
  5. Step 5: Solve for x
    x = 390,758,685.74/31,613.45
  6. Step 6: Final answer
    x = 12,360.52

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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.