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Finding the Fourth Proportional to 71,333.20, 106,999.80 and 50,597.20

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Solution

The fourth proportional to 71,333.20, 106,999.80 and 50,597.20 is: 75,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,333.20 : 106,999.80 = 50,597.20 : x
  2. Step 2: Convert to fraction form
    71,333.20/106,999.80 = 50,597.20/x
  3. Step 3: Cross multiply
    71,333.20x = 106,999.80 × 50,597.20
  4. Step 4: Simplify right side
    71,333.20x = 5,413,890,280.56
  5. Step 5: Solve for x
    x = 5,413,890,280.56/71,333.20
  6. Step 6: Final answer
    x = 75,895.80

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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.