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Finding the Fourth Proportional to 67,248, 100,862.96 and 27,799.68

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Solution

The fourth proportional to 67,248, 100,862.96 and 27,799.68 is: 41,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,248 : 100,862.96 = 27,799.68 : x
  2. Step 2: Convert to fraction form
    67,248/100,862.96 = 27,799.68/x
  3. Step 3: Cross multiply
    67,248x = 100,862.96 × 27,799.68
  4. Step 4: Simplify right side
    67,248x = 2,803,958,011.85
  5. Step 5: Solve for x
    x = 2,803,958,011.85/67,248
  6. Step 6: Final answer
    x = 41,695.78

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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.