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Finding the Fourth Proportional to 52,572.80, 78,859.20 and 24,924.80

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Solution

The fourth proportional to 52,572.80, 78,859.20 and 24,924.80 is: 37,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572.80 : 78,859.20 = 24,924.80 : x
  2. Step 2: Convert to fraction form
    52,572.80/78,859.20 = 24,924.80/x
  3. Step 3: Cross multiply
    52,572.80x = 78,859.20 × 24,924.80
  4. Step 4: Simplify right side
    52,572.80x = 1,965,549,788.16
  5. Step 5: Solve for x
    x = 1,965,549,788.16/52,572.80
  6. Step 6: Final answer
    x = 37,387.20

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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.