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Finding the Fourth Proportional to 75,421.80, 113,132.70 and 22,833.90

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Solution

The fourth proportional to 75,421.80, 113,132.70 and 22,833.90 is: 34,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.80 : 113,132.70 = 22,833.90 : x
  2. Step 2: Convert to fraction form
    75,421.80/113,132.70 = 22,833.90/x
  3. Step 3: Cross multiply
    75,421.80x = 113,132.70 × 22,833.90
  4. Step 4: Simplify right side
    75,421.80x = 2,583,260,758.53
  5. Step 5: Solve for x
    x = 2,583,260,758.53/75,421.80
  6. Step 6: Final answer
    x = 34,250.85

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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.