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Finding the Fourth Proportional to 54,114.90, 74,678.42 and 30,241.56

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Solution

The fourth proportional to 54,114.90, 74,678.42 and 30,241.56 is: 41,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114.90 : 74,678.42 = 30,241.56 : x
  2. Step 2: Convert to fraction form
    54,114.90/74,678.42 = 30,241.56/x
  3. Step 3: Cross multiply
    54,114.90x = 74,678.42 × 30,241.56
  4. Step 4: Simplify right side
    54,114.90x = 2,258,391,767.93
  5. Step 5: Solve for x
    x = 2,258,391,767.93/54,114.90
  6. Step 6: Final answer
    x = 41,733.27

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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.