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Finding the Fourth Proportional to 48,716.96, 73,098.65 and 33,747.14

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Solution

The fourth proportional to 48,716.96, 73,098.65 and 33,747.14 is: 50,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,716.96 : 73,098.65 = 33,747.14 : x
  2. Step 2: Convert to fraction form
    48,716.96/73,098.65 = 33,747.14/x
  3. Step 3: Cross multiply
    48,716.96x = 73,098.65 × 33,747.14
  4. Step 4: Simplify right side
    48,716.96x = 2,466,870,642.48
  5. Step 5: Solve for x
    x = 2,466,870,642.48/48,716.96
  6. Step 6: Final answer
    x = 50,636.80

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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.