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Finding the Fourth Proportional to 73,742.82, 101,765.19 and 40,208.82

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Solution

The fourth proportional to 73,742.82, 101,765.19 and 40,208.82 is: 55,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.82 : 101,765.19 = 40,208.82 : x
  2. Step 2: Convert to fraction form
    73,742.82/101,765.19 = 40,208.82/x
  3. Step 3: Cross multiply
    73,742.82x = 101,765.19 × 40,208.82
  4. Step 4: Simplify right side
    73,742.82x = 4,091,858,206.98
  5. Step 5: Solve for x
    x = 4,091,858,206.98/73,742.82
  6. Step 6: Final answer
    x = 55,488.23

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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.