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Finding the Fourth Proportional to 90,021.50, 124,229.68 and 50,277.50

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Solution

The fourth proportional to 90,021.50, 124,229.68 and 50,277.50 is: 69,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,021.50 : 124,229.68 = 50,277.50 : x
  2. Step 2: Convert to fraction form
    90,021.50/124,229.68 = 50,277.50/x
  3. Step 3: Cross multiply
    90,021.50x = 124,229.68 × 50,277.50
  4. Step 4: Simplify right side
    90,021.50x = 6,245,957,736.20
  5. Step 5: Solve for x
    x = 6,245,957,736.20/90,021.50
  6. Step 6: Final answer
    x = 69,382.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.