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Finding the Fourth Proportional to 82,987.04, 124,480.48 and 26,874

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Solution

The fourth proportional to 82,987.04, 124,480.48 and 26,874 is: 40,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987.04 : 124,480.48 = 26,874 : x
  2. Step 2: Convert to fraction form
    82,987.04/124,480.48 = 26,874/x
  3. Step 3: Cross multiply
    82,987.04x = 124,480.48 × 26,874
  4. Step 4: Simplify right side
    82,987.04x = 3,345,288,419.52
  5. Step 5: Solve for x
    x = 3,345,288,419.52/82,987.04
  6. Step 6: Final answer
    x = 40,310.97

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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.