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Finding the Fourth Proportional to 47,428.48, 71,163.36 and 22,486

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Solution

The fourth proportional to 47,428.48, 71,163.36 and 22,486 is: 33,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,428.48 : 71,163.36 = 22,486 : x
  2. Step 2: Convert to fraction form
    47,428.48/71,163.36 = 22,486/x
  3. Step 3: Cross multiply
    47,428.48x = 71,163.36 × 22,486
  4. Step 4: Simplify right side
    47,428.48x = 1,600,179,312.96
  5. Step 5: Solve for x
    x = 1,600,179,312.96/47,428.48
  6. Step 6: Final answer
    x = 33,738.79

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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.