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Finding the Fourth Proportional to 75,891.96, 113,833.44 and 23,301.92

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Solution

The fourth proportional to 75,891.96, 113,833.44 and 23,301.92 is: 34,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.96 : 113,833.44 = 23,301.92 : x
  2. Step 2: Convert to fraction form
    75,891.96/113,833.44 = 23,301.92/x
  3. Step 3: Cross multiply
    75,891.96x = 113,833.44 × 23,301.92
  4. Step 4: Simplify right side
    75,891.96x = 2,652,537,712.20
  5. Step 5: Solve for x
    x = 2,652,537,712.20/75,891.96
  6. Step 6: Final answer
    x = 34,951.50

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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.