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Finding the Fourth Proportional to 82,049.36, 123,296.40 and 44,637.08

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Solution

The fourth proportional to 82,049.36, 123,296.40 and 44,637.08 is: 67,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.36 : 123,296.40 = 44,637.08 : x
  2. Step 2: Convert to fraction form
    82,049.36/123,296.40 = 44,637.08/x
  3. Step 3: Cross multiply
    82,049.36x = 123,296.40 × 44,637.08
  4. Step 4: Simplify right side
    82,049.36x = 5,503,591,270.51
  5. Step 5: Solve for x
    x = 5,503,591,270.51/82,049.36
  6. Step 6: Final answer
    x = 67,076.59

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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.