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Finding the Fourth Proportional to 83,987.80, 125,959.83 and 27,832.93

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Solution

The fourth proportional to 83,987.80, 125,959.83 and 27,832.93 is: 41,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,987.80 : 125,959.83 = 27,832.93 : x
  2. Step 2: Convert to fraction form
    83,987.80/125,959.83 = 27,832.93/x
  3. Step 3: Cross multiply
    83,987.80x = 125,959.83 × 27,832.93
  4. Step 4: Simplify right side
    83,987.80x = 3,505,831,131.20
  5. Step 5: Solve for x
    x = 3,505,831,131.20/83,987.80
  6. Step 6: Final answer
    x = 41,742.15

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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.