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Finding the Fourth Proportional to 73,876.32, 101,945.52 and 40,335.84

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Solution

The fourth proportional to 73,876.32, 101,945.52 and 40,335.84 is: 55,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.32 : 101,945.52 = 40,335.84 : x
  2. Step 2: Convert to fraction form
    73,876.32/101,945.52 = 40,335.84/x
  3. Step 3: Cross multiply
    73,876.32x = 101,945.52 × 40,335.84
  4. Step 4: Simplify right side
    73,876.32x = 4,112,058,183.44
  5. Step 5: Solve for x
    x = 4,112,058,183.44/73,876.32
  6. Step 6: Final answer
    x = 55,661.38

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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.