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Finding the Fourth Proportional to 73,772.32, 101,802 and 40,231.84

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Solution

The fourth proportional to 73,772.32, 101,802 and 40,231.84 is: 55,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772.32 : 101,802 = 40,231.84 : x
  2. Step 2: Convert to fraction form
    73,772.32/101,802 = 40,231.84/x
  3. Step 3: Cross multiply
    73,772.32x = 101,802 × 40,231.84
  4. Step 4: Simplify right side
    73,772.32x = 4,095,681,775.68
  5. Step 5: Solve for x
    x = 4,095,681,775.68/73,772.32
  6. Step 6: Final answer
    x = 55,517.87

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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.