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Finding the Fourth Proportional to 75,119.40, 112,694.22 and 27,734.81

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Solution

The fourth proportional to 75,119.40, 112,694.22 and 27,734.81 is: 41,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,119.40 : 112,694.22 = 27,734.81 : x
  2. Step 2: Convert to fraction form
    75,119.40/112,694.22 = 27,734.81/x
  3. Step 3: Cross multiply
    75,119.40x = 112,694.22 × 27,734.81
  4. Step 4: Simplify right side
    75,119.40x = 3,125,552,216.33
  5. Step 5: Solve for x
    x = 3,125,552,216.33/75,119.40
  6. Step 6: Final answer
    x = 41,607.79

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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.