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Finding the Fourth Proportional to 82,231.20, 123,346.80 and 19,901.70

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Solution

The fourth proportional to 82,231.20, 123,346.80 and 19,901.70 is: 29,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.20 : 123,346.80 = 19,901.70 : x
  2. Step 2: Convert to fraction form
    82,231.20/123,346.80 = 19,901.70/x
  3. Step 3: Cross multiply
    82,231.20x = 123,346.80 × 19,901.70
  4. Step 4: Simplify right side
    82,231.20x = 2,454,811,009.56
  5. Step 5: Solve for x
    x = 2,454,811,009.56/82,231.20
  6. Step 6: Final answer
    x = 29,852.55

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