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Finding the Fourth Proportional to 62,202.54, 85,841.26 and 38,007.44

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Solution

The fourth proportional to 62,202.54, 85,841.26 and 38,007.44 is: 52,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,202.54 : 85,841.26 = 38,007.44 : x
  2. Step 2: Convert to fraction form
    62,202.54/85,841.26 = 38,007.44/x
  3. Step 3: Cross multiply
    62,202.54x = 85,841.26 × 38,007.44
  4. Step 4: Simplify right side
    62,202.54x = 3,262,606,538.97
  5. Step 5: Solve for x
    x = 3,262,606,538.97/62,202.54
  6. Step 6: Final answer
    x = 52,451.34

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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.