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Finding the Fourth Proportional to 75,044.25, 112,581.44 and 27,659.58

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Solution

The fourth proportional to 75,044.25, 112,581.44 and 27,659.58 is: 41,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044.25 : 112,581.44 = 27,659.58 : x
  2. Step 2: Convert to fraction form
    75,044.25/112,581.44 = 27,659.58/x
  3. Step 3: Cross multiply
    75,044.25x = 112,581.44 × 27,659.58
  4. Step 4: Simplify right side
    75,044.25x = 3,113,955,207.90
  5. Step 5: Solve for x
    x = 3,113,955,207.90/75,044.25
  6. Step 6: Final answer
    x = 41,494.92

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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.