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Finding the Fourth Proportional to 52,129.20, 78,193.80 and 24,049.20

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Solution

The fourth proportional to 52,129.20, 78,193.80 and 24,049.20 is: 36,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.20 : 78,193.80 = 24,049.20 : x
  2. Step 2: Convert to fraction form
    52,129.20/78,193.80 = 24,049.20/x
  3. Step 3: Cross multiply
    52,129.20x = 78,193.80 × 24,049.20
  4. Step 4: Simplify right side
    52,129.20x = 1,880,498,334.96
  5. Step 5: Solve for x
    x = 1,880,498,334.96/52,129.20
  6. Step 6: Final answer
    x = 36,073.80

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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.