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Finding the Fourth Proportional to 82,202.47, 113,427.25 and 49,920.30

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Solution

The fourth proportional to 82,202.47, 113,427.25 and 49,920.30 is: 68,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,202.47 : 113,427.25 = 49,920.30 : x
  2. Step 2: Convert to fraction form
    82,202.47/113,427.25 = 49,920.30/x
  3. Step 3: Cross multiply
    82,202.47x = 113,427.25 × 49,920.30
  4. Step 4: Simplify right side
    82,202.47x = 5,662,322,348.18
  5. Step 5: Solve for x
    x = 5,662,322,348.18/82,202.47
  6. Step 6: Final answer
    x = 68,882.63

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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.