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Finding the Fourth Proportional to 52,115.82, 71,919.54 and 28,242.50

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Solution

The fourth proportional to 52,115.82, 71,919.54 and 28,242.50 is: 38,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.82 : 71,919.54 = 28,242.50 : x
  2. Step 2: Convert to fraction form
    52,115.82/71,919.54 = 28,242.50/x
  3. Step 3: Cross multiply
    52,115.82x = 71,919.54 × 28,242.50
  4. Step 4: Simplify right side
    52,115.82x = 2,031,187,248.85
  5. Step 5: Solve for x
    x = 2,031,187,248.85/52,115.82
  6. Step 6: Final answer
    x = 38,974.49

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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.