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Finding the Fourth Proportional to 52,351.20, 78,397.20 and 41,983.20

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Solution

The fourth proportional to 52,351.20, 78,397.20 and 41,983.20 is: 62,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,351.20 : 78,397.20 = 41,983.20 : x
  2. Step 2: Convert to fraction form
    52,351.20/78,397.20 = 41,983.20/x
  3. Step 3: Cross multiply
    52,351.20x = 78,397.20 × 41,983.20
  4. Step 4: Simplify right side
    52,351.20x = 3,291,365,327.04
  5. Step 5: Solve for x
    x = 3,291,365,327.04/52,351.20
  6. Step 6: Final answer
    x = 62,870.87

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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.