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Finding the Fourth Proportional to 31,816.72, 47,727.42 and 8,443

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Solution

The fourth proportional to 31,816.72, 47,727.42 and 8,443 is: 12,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.72 : 47,727.42 = 8,443 : x
  2. Step 2: Convert to fraction form
    31,816.72/47,727.42 = 8,443/x
  3. Step 3: Cross multiply
    31,816.72x = 47,727.42 × 8,443
  4. Step 4: Simplify right side
    31,816.72x = 402,962,607.06
  5. Step 5: Solve for x
    x = 402,962,607.06/31,816.72
  6. Step 6: Final answer
    x = 12,665.12

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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.