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Finding the Fourth Proportional to 82,568.01, 113,902.17 and 48,554.84

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Solution

The fourth proportional to 82,568.01, 113,902.17 and 48,554.84 is: 66,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.01 : 113,902.17 = 48,554.84 : x
  2. Step 2: Convert to fraction form
    82,568.01/113,902.17 = 48,554.84/x
  3. Step 3: Cross multiply
    82,568.01x = 113,902.17 × 48,554.84
  4. Step 4: Simplify right side
    82,568.01x = 5,530,501,742.68
  5. Step 5: Solve for x
    x = 5,530,501,742.68/82,568.01
  6. Step 6: Final answer
    x = 66,981.17

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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.