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Finding the Fourth Proportional to 36,849.68, 50,852.80 and 20,082.72

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Solution

The fourth proportional to 36,849.68, 50,852.80 and 20,082.72 is: 27,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,849.68 : 50,852.80 = 20,082.72 : x
  2. Step 2: Convert to fraction form
    36,849.68/50,852.80 = 20,082.72/x
  3. Step 3: Cross multiply
    36,849.68x = 50,852.80 × 20,082.72
  4. Step 4: Simplify right side
    36,849.68x = 1,021,262,543.62
  5. Step 5: Solve for x
    x = 1,021,262,543.62/36,849.68
  6. Step 6: Final answer
    x = 27,714.29

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