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Finding the Fourth Proportional to 31,777.27, 47,666.19 and 8,084.85

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Solution

The fourth proportional to 31,777.27, 47,666.19 and 8,084.85 is: 12,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.27 : 47,666.19 = 8,084.85 : x
  2. Step 2: Convert to fraction form
    31,777.27/47,666.19 = 8,084.85/x
  3. Step 3: Cross multiply
    31,777.27x = 47,666.19 × 8,084.85
  4. Step 4: Simplify right side
    31,777.27x = 385,373,996.22
  5. Step 5: Solve for x
    x = 385,373,996.22/31,777.27
  6. Step 6: Final answer
    x = 12,127.35

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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.