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Finding the Fourth Proportional to 29,171.95, 43,758.43 and 9,180.95

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Solution

The fourth proportional to 29,171.95, 43,758.43 and 9,180.95 is: 13,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,171.95 : 43,758.43 = 9,180.95 : x
  2. Step 2: Convert to fraction form
    29,171.95/43,758.43 = 9,180.95/x
  3. Step 3: Cross multiply
    29,171.95x = 43,758.43 × 9,180.95
  4. Step 4: Simplify right side
    29,171.95x = 401,743,716.16
  5. Step 5: Solve for x
    x = 401,743,716.16/29,171.95
  6. Step 6: Final answer
    x = 13,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.