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Finding the Fourth Proportional to 82,231.13, 123,347.30 and 19,901.63

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Solution

The fourth proportional to 82,231.13, 123,347.30 and 19,901.63 is: 29,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.13 : 123,347.30 = 19,901.63 : x
  2. Step 2: Convert to fraction form
    82,231.13/123,347.30 = 19,901.63/x
  3. Step 3: Cross multiply
    82,231.13x = 123,347.30 × 19,901.63
  4. Step 4: Simplify right side
    82,231.13x = 2,454,811,609.85
  5. Step 5: Solve for x
    x = 2,454,811,609.85/82,231.13
  6. Step 6: Final answer
    x = 29,852.58

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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.