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Finding the Fourth Proportional to 83,373.50, 125,072.27 and 27,199.71

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Solution

The fourth proportional to 83,373.50, 125,072.27 and 27,199.71 is: 40,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,373.50 : 125,072.27 = 27,199.71 : x
  2. Step 2: Convert to fraction form
    83,373.50/125,072.27 = 27,199.71/x
  3. Step 3: Cross multiply
    83,373.50x = 125,072.27 × 27,199.71
  4. Step 4: Simplify right side
    83,373.50x = 3,401,929,337.04
  5. Step 5: Solve for x
    x = 3,401,929,337.04/83,373.50
  6. Step 6: Final answer
    x = 40,803.49

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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.