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Finding the Fourth Proportional to 54,885.68, 75,742.32 and 29,735.12

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Solution

The fourth proportional to 54,885.68, 75,742.32 and 29,735.12 is: 41,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,885.68 : 75,742.32 = 29,735.12 : x
  2. Step 2: Convert to fraction form
    54,885.68/75,742.32 = 29,735.12/x
  3. Step 3: Cross multiply
    54,885.68x = 75,742.32 × 29,735.12
  4. Step 4: Simplify right side
    54,885.68x = 2,252,206,974.28
  5. Step 5: Solve for x
    x = 2,252,206,974.28/54,885.68
  6. Step 6: Final answer
    x = 41,034.51

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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.