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Finding the Fourth Proportional to 83,305.13, 114,961.07 and 45,579.38

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Solution

The fourth proportional to 83,305.13, 114,961.07 and 45,579.38 is: 62,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305.13 : 114,961.07 = 45,579.38 : x
  2. Step 2: Convert to fraction form
    83,305.13/114,961.07 = 45,579.38/x
  3. Step 3: Cross multiply
    83,305.13x = 114,961.07 × 45,579.38
  4. Step 4: Simplify right side
    83,305.13x = 5,239,853,833.88
  5. Step 5: Solve for x
    x = 5,239,853,833.88/83,305.13
  6. Step 6: Final answer
    x = 62,899.54

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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.