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Finding the Fourth Proportional to 38,112.88, 52,591.24 and 21,980

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Solution

The fourth proportional to 38,112.88, 52,591.24 and 21,980 is: 30,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112.88 : 52,591.24 = 21,980 : x
  2. Step 2: Convert to fraction form
    38,112.88/52,591.24 = 21,980/x
  3. Step 3: Cross multiply
    38,112.88x = 52,591.24 × 21,980
  4. Step 4: Simplify right side
    38,112.88x = 1,155,955,455.20
  5. Step 5: Solve for x
    x = 1,155,955,455.20/38,112.88
  6. Step 6: Final answer
    x = 30,329.78

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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.