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Finding the Fourth Proportional to 73,311.49, 109,998.42 and 49,645.72

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Solution

The fourth proportional to 73,311.49, 109,998.42 and 49,645.72 is: 74,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,311.49 : 109,998.42 = 49,645.72 : x
  2. Step 2: Convert to fraction form
    73,311.49/109,998.42 = 49,645.72/x
  3. Step 3: Cross multiply
    73,311.49x = 109,998.42 × 49,645.72
  4. Step 4: Simplify right side
    73,311.49x = 5,460,950,759.76
  5. Step 5: Solve for x
    x = 5,460,950,759.76/73,311.49
  6. Step 6: Final answer
    x = 74,489.70

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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.