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Finding the Fourth Proportional to 54,706.50, 82,092.02 and 23,114.50

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Solution

The fourth proportional to 54,706.50, 82,092.02 and 23,114.50 is: 34,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.50 : 82,092.02 = 23,114.50 : x
  2. Step 2: Convert to fraction form
    54,706.50/82,092.02 = 23,114.50/x
  3. Step 3: Cross multiply
    54,706.50x = 82,092.02 × 23,114.50
  4. Step 4: Simplify right side
    54,706.50x = 1,897,515,675.49
  5. Step 5: Solve for x
    x = 1,897,515,675.49/54,706.50
  6. Step 6: Final answer
    x = 34,685.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.