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Finding the Fourth Proportional to 36,078.48, 49,788.24 and 20,980

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Solution

The fourth proportional to 36,078.48, 49,788.24 and 20,980 is: 28,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078.48 : 49,788.24 = 20,980 : x
  2. Step 2: Convert to fraction form
    36,078.48/49,788.24 = 20,980/x
  3. Step 3: Cross multiply
    36,078.48x = 49,788.24 × 20,980
  4. Step 4: Simplify right side
    36,078.48x = 1,044,557,275.20
  5. Step 5: Solve for x
    x = 1,044,557,275.20/36,078.48
  6. Step 6: Final answer
    x = 28,952.36

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