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Finding the Fourth Proportional to 33,230.40, 49,813.20 and 29,731.20

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Solution

The fourth proportional to 33,230.40, 49,813.20 and 29,731.20 is: 44,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.40 : 49,813.20 = 29,731.20 : x
  2. Step 2: Convert to fraction form
    33,230.40/49,813.20 = 29,731.20/x
  3. Step 3: Cross multiply
    33,230.40x = 49,813.20 × 29,731.20
  4. Step 4: Simplify right side
    33,230.40x = 1,481,006,211.84
  5. Step 5: Solve for x
    x = 1,481,006,211.84/33,230.40
  6. Step 6: Final answer
    x = 44,567.81

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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.