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Finding the Fourth Proportional to 75,739.90, 113,609.85 and 22,433.80

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Solution

The fourth proportional to 75,739.90, 113,609.85 and 22,433.80 is: 33,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,739.90 : 113,609.85 = 22,433.80 : x
  2. Step 2: Convert to fraction form
    75,739.90/113,609.85 = 22,433.80/x
  3. Step 3: Cross multiply
    75,739.90x = 113,609.85 × 22,433.80
  4. Step 4: Simplify right side
    75,739.90x = 2,548,700,652.93
  5. Step 5: Solve for x
    x = 2,548,700,652.93/75,739.90
  6. Step 6: Final answer
    x = 33,650.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.