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Finding the Fourth Proportional to 52,565.20, 78,847.80 and 24,917.20

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Solution

The fourth proportional to 52,565.20, 78,847.80 and 24,917.20 is: 37,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,565.20 : 78,847.80 = 24,917.20 : x
  2. Step 2: Convert to fraction form
    52,565.20/78,847.80 = 24,917.20/x
  3. Step 3: Cross multiply
    52,565.20x = 78,847.80 × 24,917.20
  4. Step 4: Simplify right side
    52,565.20x = 1,964,666,402.16
  5. Step 5: Solve for x
    x = 1,964,666,402.16/52,565.20
  6. Step 6: Final answer
    x = 37,375.80

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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.