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Finding the Fourth Proportional to 31,585.65, 47,374.80 and 8,213.91

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Solution

The fourth proportional to 31,585.65, 47,374.80 and 8,213.91 is: 12,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.65 : 47,374.80 = 8,213.91 : x
  2. Step 2: Convert to fraction form
    31,585.65/47,374.80 = 8,213.91/x
  3. Step 3: Cross multiply
    31,585.65x = 47,374.80 × 8,213.91
  4. Step 4: Simplify right side
    31,585.65x = 389,132,343.47
  5. Step 5: Solve for x
    x = 389,132,343.47/31,585.65
  6. Step 6: Final answer
    x = 12,319.91

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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.