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Finding the Fourth Proportional to 35,992.80, 49,648.68 and 28,022.40

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Solution

The fourth proportional to 35,992.80, 49,648.68 and 28,022.40 is: 38,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.80 : 49,648.68 = 28,022.40 : x
  2. Step 2: Convert to fraction form
    35,992.80/49,648.68 = 28,022.40/x
  3. Step 3: Cross multiply
    35,992.80x = 49,648.68 × 28,022.40
  4. Step 4: Simplify right side
    35,992.80x = 1,391,275,170.43
  5. Step 5: Solve for x
    x = 1,391,275,170.43/35,992.80
  6. Step 6: Final answer
    x = 38,654.26

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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.