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Finding the Fourth Proportional to 36,278.16, 50,082.65 and 28,193.76

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Solution

The fourth proportional to 36,278.16, 50,082.65 and 28,193.76 is: 38,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278.16 : 50,082.65 = 28,193.76 : x
  2. Step 2: Convert to fraction form
    36,278.16/50,082.65 = 28,193.76/x
  3. Step 3: Cross multiply
    36,278.16x = 50,082.65 × 28,193.76
  4. Step 4: Simplify right side
    36,278.16x = 1,412,018,073.30
  5. Step 5: Solve for x
    x = 1,412,018,073.30/36,278.16
  6. Step 6: Final answer
    x = 38,921.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.