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Finding the Fourth Proportional to 90,538.92, 124,941.38 and 50,251.50

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Solution

The fourth proportional to 90,538.92, 124,941.38 and 50,251.50 is: 69,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,538.92 : 124,941.38 = 50,251.50 : x
  2. Step 2: Convert to fraction form
    90,538.92/124,941.38 = 50,251.50/x
  3. Step 3: Cross multiply
    90,538.92x = 124,941.38 × 50,251.50
  4. Step 4: Simplify right side
    90,538.92x = 6,278,491,505.81
  5. Step 5: Solve for x
    x = 6,278,491,505.81/90,538.92
  6. Step 6: Final answer
    x = 69,345.77

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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.