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Finding the Fourth Proportional to 75,879.27, 113,832.27 and 25,947.63

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Solution

The fourth proportional to 75,879.27, 113,832.27 and 25,947.63 is: 38,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.27 : 113,832.27 = 25,947.63 : x
  2. Step 2: Convert to fraction form
    75,879.27/113,832.27 = 25,947.63/x
  3. Step 3: Cross multiply
    75,879.27x = 113,832.27 × 25,947.63
  4. Step 4: Simplify right side
    75,879.27x = 2,953,677,624.02
  5. Step 5: Solve for x
    x = 2,953,677,624.02/75,879.27
  6. Step 6: Final answer
    x = 38,926.02

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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.