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Finding the Fourth Proportional to 52,057.83, 71,839.71 and 28,184.50

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Solution

The fourth proportional to 52,057.83, 71,839.71 and 28,184.50 is: 38,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.83 : 71,839.71 = 28,184.50 : x
  2. Step 2: Convert to fraction form
    52,057.83/71,839.71 = 28,184.50/x
  3. Step 3: Cross multiply
    52,057.83x = 71,839.71 × 28,184.50
  4. Step 4: Simplify right side
    52,057.83x = 2,024,766,306.50
  5. Step 5: Solve for x
    x = 2,024,766,306.50/52,057.83
  6. Step 6: Final answer
    x = 38,894.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.