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Finding the Fourth Proportional to 29,972.25, 44,959.20 and 9,195.75

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Solution

The fourth proportional to 29,972.25, 44,959.20 and 9,195.75 is: 13,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.25 : 44,959.20 = 9,195.75 : x
  2. Step 2: Convert to fraction form
    29,972.25/44,959.20 = 9,195.75/x
  3. Step 3: Cross multiply
    29,972.25x = 44,959.20 × 9,195.75
  4. Step 4: Simplify right side
    29,972.25x = 413,433,563.40
  5. Step 5: Solve for x
    x = 413,433,563.40/29,972.25
  6. Step 6: Final answer
    x = 13,793.88

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1.5x scale

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.