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Finding the Fourth Proportional to 90,101.88, 124,338.24 and 49,815.72

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Solution

The fourth proportional to 90,101.88, 124,338.24 and 49,815.72 is: 68,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,101.88 : 124,338.24 = 49,815.72 : x
  2. Step 2: Convert to fraction form
    90,101.88/124,338.24 = 49,815.72/x
  3. Step 3: Cross multiply
    90,101.88x = 124,338.24 × 49,815.72
  4. Step 4: Simplify right side
    90,101.88x = 6,193,998,949.13
  5. Step 5: Solve for x
    x = 6,193,998,949.13/90,101.88
  6. Step 6: Final answer
    x = 68,744.39

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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.