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Finding the Fourth Proportional to 82,353.52, 123,530.28 and 33,094

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Solution

The fourth proportional to 82,353.52, 123,530.28 and 33,094 is: 49,641

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.52 : 123,530.28 = 33,094 : x
  2. Step 2: Convert to fraction form
    82,353.52/123,530.28 = 33,094/x
  3. Step 3: Cross multiply
    82,353.52x = 123,530.28 × 33,094
  4. Step 4: Simplify right side
    82,353.52x = 4,088,111,086.32
  5. Step 5: Solve for x
    x = 4,088,111,086.32/82,353.52
  6. Step 6: Final answer
    x = 49,641

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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.