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Finding the Fourth Proportional to 83,194.88, 124,812.02 and 27,035.15

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Solution

The fourth proportional to 83,194.88, 124,812.02 and 27,035.15 is: 40,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194.88 : 124,812.02 = 27,035.15 : x
  2. Step 2: Convert to fraction form
    83,194.88/124,812.02 = 27,035.15/x
  3. Step 3: Cross multiply
    83,194.88x = 124,812.02 × 27,035.15
  4. Step 4: Simplify right side
    83,194.88x = 3,374,311,126.03
  5. Step 5: Solve for x
    x = 3,374,311,126.03/83,194.88
  6. Step 6: Final answer
    x = 40,559.12

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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.