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Finding the Fourth Proportional to 83,583.40, 125,375.10 and 27,423.40

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Solution

The fourth proportional to 83,583.40, 125,375.10 and 27,423.40 is: 41,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.40 : 125,375.10 = 27,423.40 : x
  2. Step 2: Convert to fraction form
    83,583.40/125,375.10 = 27,423.40/x
  3. Step 3: Cross multiply
    83,583.40x = 125,375.10 × 27,423.40
  4. Step 4: Simplify right side
    83,583.40x = 3,438,211,517.34
  5. Step 5: Solve for x
    x = 3,438,211,517.34/83,583.40
  6. Step 6: Final answer
    x = 41,135.10

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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.