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Finding the Fourth Proportional to 54,344.11, 74,999.21 and 30,147.46

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Solution

The fourth proportional to 54,344.11, 74,999.21 and 30,147.46 is: 41,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344.11 : 74,999.21 = 30,147.46 : x
  2. Step 2: Convert to fraction form
    54,344.11/74,999.21 = 30,147.46/x
  3. Step 3: Cross multiply
    54,344.11x = 74,999.21 × 30,147.46
  4. Step 4: Simplify right side
    54,344.11x = 2,261,035,571.38
  5. Step 5: Solve for x
    x = 2,261,035,571.38/54,344.11
  6. Step 6: Final answer
    x = 41,605.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.