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Finding the Fourth Proportional to 73,243.62, 109,826.55 and 49,876.74

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Solution

The fourth proportional to 73,243.62, 109,826.55 and 49,876.74 is: 74,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,243.62 : 109,826.55 = 49,876.74 : x
  2. Step 2: Convert to fraction form
    73,243.62/109,826.55 = 49,876.74/x
  3. Step 3: Cross multiply
    73,243.62x = 109,826.55 × 49,876.74
  4. Step 4: Simplify right side
    73,243.62x = 5,477,790,279.45
  5. Step 5: Solve for x
    x = 5,477,790,279.45/73,243.62
  6. Step 6: Final answer
    x = 74,788.63

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Why These Related Problems?

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