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Finding the Fourth Proportional to 29,791.20, 44,692.80 and 8,731.20

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Solution

The fourth proportional to 29,791.20, 44,692.80 and 8,731.20 is: 13,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791.20 : 44,692.80 = 8,731.20 : x
  2. Step 2: Convert to fraction form
    29,791.20/44,692.80 = 8,731.20/x
  3. Step 3: Cross multiply
    29,791.20x = 44,692.80 × 8,731.20
  4. Step 4: Simplify right side
    29,791.20x = 390,221,775.36
  5. Step 5: Solve for x
    x = 390,221,775.36/29,791.20
  6. Step 6: Final answer
    x = 13,098.56

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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.