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Finding the Fourth Proportional to 71,147.72, 106,741.20 and 21,229.50

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Solution

The fourth proportional to 71,147.72, 106,741.20 and 21,229.50 is: 31,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.72 : 106,741.20 = 21,229.50 : x
  2. Step 2: Convert to fraction form
    71,147.72/106,741.20 = 21,229.50/x
  3. Step 3: Cross multiply
    71,147.72x = 106,741.20 × 21,229.50
  4. Step 4: Simplify right side
    71,147.72x = 2,266,062,305.40
  5. Step 5: Solve for x
    x = 2,266,062,305.40/71,147.72
  6. Step 6: Final answer
    x = 31,850.10

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