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Finding the Fourth Proportional to 34,964.80, 48,251.28 and 19,049.20

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Solution

The fourth proportional to 34,964.80, 48,251.28 and 19,049.20 is: 26,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,964.80 : 48,251.28 = 19,049.20 : x
  2. Step 2: Convert to fraction form
    34,964.80/48,251.28 = 19,049.20/x
  3. Step 3: Cross multiply
    34,964.80x = 48,251.28 × 19,049.20
  4. Step 4: Simplify right side
    34,964.80x = 919,148,282.98
  5. Step 5: Solve for x
    x = 919,148,282.98/34,964.80
  6. Step 6: Final answer
    x = 26,287.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.