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Finding the Fourth Proportional to 75,879.28, 113,824.44 and 29,132.16

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Solution

The fourth proportional to 75,879.28, 113,824.44 and 29,132.16 is: 43,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.28 : 113,824.44 = 29,132.16 : x
  2. Step 2: Convert to fraction form
    75,879.28/113,824.44 = 29,132.16/x
  3. Step 3: Cross multiply
    75,879.28x = 113,824.44 × 29,132.16
  4. Step 4: Simplify right side
    75,879.28x = 3,315,951,371.15
  5. Step 5: Solve for x
    x = 3,315,951,371.15/75,879.28
  6. Step 6: Final answer
    x = 43,700.35

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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.