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Finding the Fourth Proportional to 75,249.14, 112,794.12 and 27,833.76

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Solution

The fourth proportional to 75,249.14, 112,794.12 and 27,833.76 is: 41,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,249.14 : 112,794.12 = 27,833.76 : x
  2. Step 2: Convert to fraction form
    75,249.14/112,794.12 = 27,833.76/x
  3. Step 3: Cross multiply
    75,249.14x = 112,794.12 × 27,833.76
  4. Step 4: Simplify right side
    75,249.14x = 3,139,484,465.49
  5. Step 5: Solve for x
    x = 3,139,484,465.49/75,249.14
  6. Step 6: Final answer
    x = 41,721.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.