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Finding the Fourth Proportional to 52,839.54, 79,214.90 and 24,744.78

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Solution

The fourth proportional to 52,839.54, 79,214.90 and 24,744.78 is: 37,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,839.54 : 79,214.90 = 24,744.78 : x
  2. Step 2: Convert to fraction form
    52,839.54/79,214.90 = 24,744.78/x
  3. Step 3: Cross multiply
    52,839.54x = 79,214.90 × 24,744.78
  4. Step 4: Simplify right side
    52,839.54x = 1,960,155,149.50
  5. Step 5: Solve for x
    x = 1,960,155,149.50/52,839.54
  6. Step 6: Final answer
    x = 37,096.37

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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.