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Finding the Fourth Proportional to 52,251.80, 78,329.10 and 36,456.80

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Solution

The fourth proportional to 52,251.80, 78,329.10 and 36,456.80 is: 54,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,251.80 : 78,329.10 = 36,456.80 : x
  2. Step 2: Convert to fraction form
    52,251.80/78,329.10 = 36,456.80/x
  3. Step 3: Cross multiply
    52,251.80x = 78,329.10 × 36,456.80
  4. Step 4: Simplify right side
    52,251.80x = 2,855,628,332.88
  5. Step 5: Solve for x
    x = 2,855,628,332.88/52,251.80
  6. Step 6: Final answer
    x = 54,651.29

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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.