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Finding the Fourth Proportional to 54,817.10, 75,642.14 and 30,939.17

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Solution

The fourth proportional to 54,817.10, 75,642.14 and 30,939.17 is: 42,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,817.10 : 75,642.14 = 30,939.17 : x
  2. Step 2: Convert to fraction form
    54,817.10/75,642.14 = 30,939.17/x
  3. Step 3: Cross multiply
    54,817.10x = 75,642.14 × 30,939.17
  4. Step 4: Simplify right side
    54,817.10x = 2,340,305,295.08
  5. Step 5: Solve for x
    x = 2,340,305,295.08/54,817.10
  6. Step 6: Final answer
    x = 42,692.98

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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.