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Finding the Fourth Proportional to 31,527.72, 47,293.20 and 8,154.36

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Solution

The fourth proportional to 31,527.72, 47,293.20 and 8,154.36 is: 12,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.72 : 47,293.20 = 8,154.36 : x
  2. Step 2: Convert to fraction form
    31,527.72/47,293.20 = 8,154.36/x
  3. Step 3: Cross multiply
    31,527.72x = 47,293.20 × 8,154.36
  4. Step 4: Simplify right side
    31,527.72x = 385,645,778.35
  5. Step 5: Solve for x
    x = 385,645,778.35/31,527.72
  6. Step 6: Final answer
    x = 12,231.96

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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.