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Finding the Fourth Proportional to 54,116.38, 74,674.14 and 29,914.08

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Solution

The fourth proportional to 54,116.38, 74,674.14 and 29,914.08 is: 41,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116.38 : 74,674.14 = 29,914.08 : x
  2. Step 2: Convert to fraction form
    54,116.38/74,674.14 = 29,914.08/x
  3. Step 3: Cross multiply
    54,116.38x = 74,674.14 × 29,914.08
  4. Step 4: Simplify right side
    54,116.38x = 2,233,807,674.95
  5. Step 5: Solve for x
    x = 2,233,807,674.95/54,116.38
  6. Step 6: Final answer
    x = 41,277.85

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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.