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Finding the Fourth Proportional to 75,230.71, 112,853.51 and 27,858.44

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Solution

The fourth proportional to 75,230.71, 112,853.51 and 27,858.44 is: 41,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,230.71 : 112,853.51 = 27,858.44 : x
  2. Step 2: Convert to fraction form
    75,230.71/112,853.51 = 27,858.44/x
  3. Step 3: Cross multiply
    75,230.71x = 112,853.51 × 27,858.44
  4. Step 4: Simplify right side
    75,230.71x = 3,143,922,737.12
  5. Step 5: Solve for x
    x = 3,143,922,737.12/75,230.71
  6. Step 6: Final answer
    x = 41,790.42

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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.