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Finding the Fourth Proportional to 29,759.38, 41,069.96 and 17,184.12

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Solution

The fourth proportional to 29,759.38, 41,069.96 and 17,184.12 is: 23,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.38 : 41,069.96 = 17,184.12 : x
  2. Step 2: Convert to fraction form
    29,759.38/41,069.96 = 17,184.12/x
  3. Step 3: Cross multiply
    29,759.38x = 41,069.96 × 17,184.12
  4. Step 4: Simplify right side
    29,759.38x = 705,751,121.04
  5. Step 5: Solve for x
    x = 705,751,121.04/29,759.38
  6. Step 6: Final answer
    x = 23,715.25

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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.