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Finding the Fourth Proportional to 96,003.78, 144,037.26 and 45,424.54

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Solution

The fourth proportional to 96,003.78, 144,037.26 and 45,424.54 is: 68,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,003.78 : 144,037.26 = 45,424.54 : x
  2. Step 2: Convert to fraction form
    96,003.78/144,037.26 = 45,424.54/x
  3. Step 3: Cross multiply
    96,003.78x = 144,037.26 × 45,424.54
  4. Step 4: Simplify right side
    96,003.78x = 6,542,826,278.36
  5. Step 5: Solve for x
    x = 6,542,826,278.36/96,003.78
  6. Step 6: Final answer
    x = 68,151.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.