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Finding the Fourth Proportional to 38,297.97, 52,829.60 and 22,980.56

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Solution

The fourth proportional to 38,297.97, 52,829.60 and 22,980.56 is: 31,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.97 : 52,829.60 = 22,980.56 : x
  2. Step 2: Convert to fraction form
    38,297.97/52,829.60 = 22,980.56/x
  3. Step 3: Cross multiply
    38,297.97x = 52,829.60 × 22,980.56
  4. Step 4: Simplify right side
    38,297.97x = 1,214,053,413.53
  5. Step 5: Solve for x
    x = 1,214,053,413.53/38,297.97
  6. Step 6: Final answer
    x = 31,700.20

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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.