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Finding the Fourth Proportional to 83,189.12, 124,642.88 and 50,288

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Solution

The fourth proportional to 83,189.12, 124,642.88 and 50,288 is: 75,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.12 : 124,642.88 = 50,288 : x
  2. Step 2: Convert to fraction form
    83,189.12/124,642.88 = 50,288/x
  3. Step 3: Cross multiply
    83,189.12x = 124,642.88 × 50,288
  4. Step 4: Simplify right side
    83,189.12x = 6,268,041,149.44
  5. Step 5: Solve for x
    x = 6,268,041,149.44/83,189.12
  6. Step 6: Final answer
    x = 75,346.89

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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.