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Finding the Fourth Proportional to 49,287.98, 68,017.34 and 28,067.24

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Solution

The fourth proportional to 49,287.98, 68,017.34 and 28,067.24 is: 38,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,287.98 : 68,017.34 = 28,067.24 : x
  2. Step 2: Convert to fraction form
    49,287.98/68,017.34 = 28,067.24/x
  3. Step 3: Cross multiply
    49,287.98x = 68,017.34 × 28,067.24
  4. Step 4: Simplify right side
    49,287.98x = 1,909,058,525.52
  5. Step 5: Solve for x
    x = 1,909,058,525.52/49,287.98
  6. Step 6: Final answer
    x = 38,732.74

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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.