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Finding the Fourth Proportional to 75,206.88, 112,691.65 and 27,756.68

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Solution

The fourth proportional to 75,206.88, 112,691.65 and 27,756.68 is: 41,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,206.88 : 112,691.65 = 27,756.68 : x
  2. Step 2: Convert to fraction form
    75,206.88/112,691.65 = 27,756.68/x
  3. Step 3: Cross multiply
    75,206.88x = 112,691.65 × 27,756.68
  4. Step 4: Simplify right side
    75,206.88x = 3,127,946,067.72
  5. Step 5: Solve for x
    x = 3,127,946,067.72/75,206.88
  6. Step 6: Final answer
    x = 41,591.22

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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.