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Finding the Fourth Proportional to 82,104.96, 113,306.11 and 48,105.32

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Solution

The fourth proportional to 82,104.96, 113,306.11 and 48,105.32 is: 66,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.96 : 113,306.11 = 48,105.32 : x
  2. Step 2: Convert to fraction form
    82,104.96/113,306.11 = 48,105.32/x
  3. Step 3: Cross multiply
    82,104.96x = 113,306.11 × 48,105.32
  4. Step 4: Simplify right side
    82,104.96x = 5,450,625,992.71
  5. Step 5: Solve for x
    x = 5,450,625,992.71/82,104.96
  6. Step 6: Final answer
    x = 66,386.07

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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.