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Finding the Fourth Proportional to 75,111.92, 103,659.72 and 41,580.08

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Solution

The fourth proportional to 75,111.92, 103,659.72 and 41,580.08 is: 57,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111.92 : 103,659.72 = 41,580.08 : x
  2. Step 2: Convert to fraction form
    75,111.92/103,659.72 = 41,580.08/x
  3. Step 3: Cross multiply
    75,111.92x = 103,659.72 × 41,580.08
  4. Step 4: Simplify right side
    75,111.92x = 4,310,179,450.38
  5. Step 5: Solve for x
    x = 4,310,179,450.38/75,111.92
  6. Step 6: Final answer
    x = 57,383.43

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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.