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Finding the Fourth Proportional to 36,246.16, 50,020.10 and 20,113.75

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Solution

The fourth proportional to 36,246.16, 50,020.10 and 20,113.75 is: 27,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,246.16 : 50,020.10 = 20,113.75 : x
  2. Step 2: Convert to fraction form
    36,246.16/50,020.10 = 20,113.75/x
  3. Step 3: Cross multiply
    36,246.16x = 50,020.10 × 20,113.75
  4. Step 4: Simplify right side
    36,246.16x = 1,006,091,786.38
  5. Step 5: Solve for x
    x = 1,006,091,786.38/36,246.16
  6. Step 6: Final answer
    x = 27,757.20

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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.