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Finding the Fourth Proportional to 99,813.80, 149,723.44 and 33,251.56

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Solution

The fourth proportional to 99,813.80, 149,723.44 and 33,251.56 is: 49,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813.80 : 149,723.44 = 33,251.56 : x
  2. Step 2: Convert to fraction form
    99,813.80/149,723.44 = 33,251.56/x
  3. Step 3: Cross multiply
    99,813.80x = 149,723.44 × 33,251.56
  4. Step 4: Simplify right side
    99,813.80x = 4,978,537,491.13
  5. Step 5: Solve for x
    x = 4,978,537,491.13/99,813.80
  6. Step 6: Final answer
    x = 49,878.25

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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.