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Finding the Fourth Proportional to 29,972.70, 44,959.05 and 9,196.20

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Solution

The fourth proportional to 29,972.70, 44,959.05 and 9,196.20 is: 13,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.70 : 44,959.05 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    29,972.70/44,959.05 = 9,196.20/x
  3. Step 3: Cross multiply
    29,972.70x = 44,959.05 × 9,196.20
  4. Step 4: Simplify right side
    29,972.70x = 413,452,415.61
  5. Step 5: Solve for x
    x = 413,452,415.61/29,972.70
  6. Step 6: Final answer
    x = 13,794.30

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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.