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Finding the Fourth Proportional to 31,777.17, 47,666.03 and 8,084.74

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Solution

The fourth proportional to 31,777.17, 47,666.03 and 8,084.74 is: 12,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.17 : 47,666.03 = 8,084.74 : x
  2. Step 2: Convert to fraction form
    31,777.17/47,666.03 = 8,084.74/x
  3. Step 3: Cross multiply
    31,777.17x = 47,666.03 × 8,084.74
  4. Step 4: Simplify right side
    31,777.17x = 385,367,299.79
  5. Step 5: Solve for x
    x = 385,367,299.79/31,777.17
  6. Step 6: Final answer
    x = 12,127.17

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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.