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Finding the Fourth Proportional to 99,822.78, 149,684.22 and 33,239.70

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Solution

The fourth proportional to 99,822.78, 149,684.22 and 33,239.70 is: 49,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822.78 : 149,684.22 = 33,239.70 : x
  2. Step 2: Convert to fraction form
    99,822.78/149,684.22 = 33,239.70/x
  3. Step 3: Cross multiply
    99,822.78x = 149,684.22 × 33,239.70
  4. Step 4: Simplify right side
    99,822.78x = 4,975,458,567.53
  5. Step 5: Solve for x
    x = 4,975,458,567.53/99,822.78
  6. Step 6: Final answer
    x = 49,842.92

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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.