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Finding the Fourth Proportional to 34,049.78, 51,080.02 and 17,400.78

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Solution

The fourth proportional to 34,049.78, 51,080.02 and 17,400.78 is: 26,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.78 : 51,080.02 = 17,400.78 : x
  2. Step 2: Convert to fraction form
    34,049.78/51,080.02 = 17,400.78/x
  3. Step 3: Cross multiply
    34,049.78x = 51,080.02 × 17,400.78
  4. Step 4: Simplify right side
    34,049.78x = 888,832,190.42
  5. Step 5: Solve for x
    x = 888,832,190.42/34,049.78
  6. Step 6: Final answer
    x = 26,103.90

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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.