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Finding the Fourth Proportional to 52,041.50, 71,817.13 and 28,168.17

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Solution

The fourth proportional to 52,041.50, 71,817.13 and 28,168.17 is: 38,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041.50 : 71,817.13 = 28,168.17 : x
  2. Step 2: Convert to fraction form
    52,041.50/71,817.13 = 28,168.17/x
  3. Step 3: Cross multiply
    52,041.50x = 71,817.13 × 28,168.17
  4. Step 4: Simplify right side
    52,041.50x = 2,022,957,126.75
  5. Step 5: Solve for x
    x = 2,022,957,126.75/52,041.50
  6. Step 6: Final answer
    x = 38,872.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.