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Finding the Fourth Proportional to 82,003.32, 123,023.34 and 25,081.92

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Solution

The fourth proportional to 82,003.32, 123,023.34 and 25,081.92 is: 37,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.32 : 123,023.34 = 25,081.92 : x
  2. Step 2: Convert to fraction form
    82,003.32/123,023.34 = 25,081.92/x
  3. Step 3: Cross multiply
    82,003.32x = 123,023.34 × 25,081.92
  4. Step 4: Simplify right side
    82,003.32x = 3,085,661,572.01
  5. Step 5: Solve for x
    x = 3,085,661,572.01/82,003.32
  6. Step 6: Final answer
    x = 37,628.50

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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.