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Finding the Fourth Proportional to 33,076.02, 49,614.17 and 8,116.23

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Solution

The fourth proportional to 33,076.02, 49,614.17 and 8,116.23 is: 12,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.02 : 49,614.17 = 8,116.23 : x
  2. Step 2: Convert to fraction form
    33,076.02/49,614.17 = 8,116.23/x
  3. Step 3: Cross multiply
    33,076.02x = 49,614.17 × 8,116.23
  4. Step 4: Simplify right side
    33,076.02x = 402,679,974.40
  5. Step 5: Solve for x
    x = 402,679,974.40/33,076.02
  6. Step 6: Final answer
    x = 12,174.38

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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.