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Finding the Fourth Proportional to 37,765.80, 56,648.70 and 18,082.80

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Solution

The fourth proportional to 37,765.80, 56,648.70 and 18,082.80 is: 27,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765.80 : 56,648.70 = 18,082.80 : x
  2. Step 2: Convert to fraction form
    37,765.80/56,648.70 = 18,082.80/x
  3. Step 3: Cross multiply
    37,765.80x = 56,648.70 × 18,082.80
  4. Step 4: Simplify right side
    37,765.80x = 1,024,367,112.36
  5. Step 5: Solve for x
    x = 1,024,367,112.36/37,765.80
  6. Step 6: Final answer
    x = 27,124.20

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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.