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Finding the Fourth Proportional to 31,561.65, 47,349.78 and 9,374.55

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Solution

The fourth proportional to 31,561.65, 47,349.78 and 9,374.55 is: 14,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.65 : 47,349.78 = 9,374.55 : x
  2. Step 2: Convert to fraction form
    31,561.65/47,349.78 = 9,374.55/x
  3. Step 3: Cross multiply
    31,561.65x = 47,349.78 × 9,374.55
  4. Step 4: Simplify right side
    31,561.65x = 443,882,880.10
  5. Step 5: Solve for x
    x = 443,882,880.10/31,561.65
  6. Step 6: Final answer
    x = 14,063.99

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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.