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Finding the Fourth Proportional to 81,002.43, 111,782.30 and 45,196.38

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Solution

The fourth proportional to 81,002.43, 111,782.30 and 45,196.38 is: 62,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,002.43 : 111,782.30 = 45,196.38 : x
  2. Step 2: Convert to fraction form
    81,002.43/111,782.30 = 45,196.38/x
  3. Step 3: Cross multiply
    81,002.43x = 111,782.30 × 45,196.38
  4. Step 4: Simplify right side
    81,002.43x = 5,052,155,082.09
  5. Step 5: Solve for x
    x = 5,052,155,082.09/81,002.43
  6. Step 6: Final answer
    x = 62,370.41

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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.