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Finding the Fourth Proportional to 75,958.80, 113,936.70 and 22,686.86

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Solution

The fourth proportional to 75,958.80, 113,936.70 and 22,686.86 is: 34,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.80 : 113,936.70 = 22,686.86 : x
  2. Step 2: Convert to fraction form
    75,958.80/113,936.70 = 22,686.86/x
  3. Step 3: Cross multiply
    75,958.80x = 113,936.70 × 22,686.86
  4. Step 4: Simplify right side
    75,958.80x = 2,584,865,392.08
  5. Step 5: Solve for x
    x = 2,584,865,392.08/75,958.80
  6. Step 6: Final answer
    x = 34,029.83

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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.