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Finding the Fourth Proportional to 65,195.30, 89,974.89 and 41,313.26

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Solution

The fourth proportional to 65,195.30, 89,974.89 and 41,313.26 is: 57,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.30 : 89,974.89 = 41,313.26 : x
  2. Step 2: Convert to fraction form
    65,195.30/89,974.89 = 41,313.26/x
  3. Step 3: Cross multiply
    65,195.30x = 89,974.89 × 41,313.26
  4. Step 4: Simplify right side
    65,195.30x = 3,717,156,024.04
  5. Step 5: Solve for x
    x = 3,717,156,024.04/65,195.30
  6. Step 6: Final answer
    x = 57,015.71

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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.