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Finding the Fourth Proportional to 82,353.58, 123,538.77 and 22,383

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Solution

The fourth proportional to 82,353.58, 123,538.77 and 22,383 is: 33,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.58 : 123,538.77 = 22,383 : x
  2. Step 2: Convert to fraction form
    82,353.58/123,538.77 = 22,383/x
  3. Step 3: Cross multiply
    82,353.58x = 123,538.77 × 22,383
  4. Step 4: Simplify right side
    82,353.58x = 2,765,168,288.91
  5. Step 5: Solve for x
    x = 2,765,168,288.91/82,353.58
  6. Step 6: Final answer
    x = 33,576.78

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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.