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Finding the Fourth Proportional to 73,872.64, 101,944.56 and 40,339.36

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Solution

The fourth proportional to 73,872.64, 101,944.56 and 40,339.36 is: 55,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872.64 : 101,944.56 = 40,339.36 : x
  2. Step 2: Convert to fraction form
    73,872.64/101,944.56 = 40,339.36/x
  3. Step 3: Cross multiply
    73,872.64x = 101,944.56 × 40,339.36
  4. Step 4: Simplify right side
    73,872.64x = 4,112,378,305.88
  5. Step 5: Solve for x
    x = 4,112,378,305.88/73,872.64
  6. Step 6: Final answer
    x = 55,668.49

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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.