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Finding the Fourth Proportional to 54,017.57, 74,544.12 and 30,142.82

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Solution

The fourth proportional to 54,017.57, 74,544.12 and 30,142.82 is: 41,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,017.57 : 74,544.12 = 30,142.82 : x
  2. Step 2: Convert to fraction form
    54,017.57/74,544.12 = 30,142.82/x
  3. Step 3: Cross multiply
    54,017.57x = 74,544.12 × 30,142.82
  4. Step 4: Simplify right side
    54,017.57x = 2,246,969,618.50
  5. Step 5: Solve for x
    x = 2,246,969,618.50/54,017.57
  6. Step 6: Final answer
    x = 41,597.02

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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.