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Finding the Fourth Proportional to 82,102.72, 113,301.76 and 44,376.97

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Solution

The fourth proportional to 82,102.72, 113,301.76 and 44,376.97 is: 61,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102.72 : 113,301.76 = 44,376.97 : x
  2. Step 2: Convert to fraction form
    82,102.72/113,301.76 = 44,376.97/x
  3. Step 3: Cross multiply
    82,102.72x = 113,301.76 × 44,376.97
  4. Step 4: Simplify right side
    82,102.72x = 5,027,988,582.58
  5. Step 5: Solve for x
    x = 5,027,988,582.58/82,102.72
  6. Step 6: Final answer
    x = 61,240.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.