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Finding the Fourth Proportional to 75,991.44, 113,862.62 and 26,044.62

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Solution

The fourth proportional to 75,991.44, 113,862.62 and 26,044.62 is: 39,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,991.44 : 113,862.62 = 26,044.62 : x
  2. Step 2: Convert to fraction form
    75,991.44/113,862.62 = 26,044.62/x
  3. Step 3: Cross multiply
    75,991.44x = 113,862.62 × 26,044.62
  4. Step 4: Simplify right side
    75,991.44x = 2,965,508,670.10
  5. Step 5: Solve for x
    x = 2,965,508,670.10/75,991.44
  6. Step 6: Final answer
    x = 39,024.25

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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.