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Finding the Fourth Proportional to 83,409.60, 125,116.02 and 27,249.90

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Solution

The fourth proportional to 83,409.60, 125,116.02 and 27,249.90 is: 40,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.60 : 125,116.02 = 27,249.90 : x
  2. Step 2: Convert to fraction form
    83,409.60/125,116.02 = 27,249.90/x
  3. Step 3: Cross multiply
    83,409.60x = 125,116.02 × 27,249.90
  4. Step 4: Simplify right side
    83,409.60x = 3,409,399,033.40
  5. Step 5: Solve for x
    x = 3,409,399,033.40/83,409.60
  6. Step 6: Final answer
    x = 40,875.38

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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.