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Finding the Fourth Proportional to 71,084.52, 106,574.11 and 33,600.80

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Solution

The fourth proportional to 71,084.52, 106,574.11 and 33,600.80 is: 50,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.52 : 106,574.11 = 33,600.80 : x
  2. Step 2: Convert to fraction form
    71,084.52/106,574.11 = 33,600.80/x
  3. Step 3: Cross multiply
    71,084.52x = 106,574.11 × 33,600.80
  4. Step 4: Simplify right side
    71,084.52x = 3,580,974,822.42
  5. Step 5: Solve for x
    x = 3,580,974,822.42/71,084.52
  6. Step 6: Final answer
    x = 50,376.30

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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.