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Finding the Fourth Proportional to 74,589.44, 111,856 and 21,984

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Solution

The fourth proportional to 74,589.44, 111,856 and 21,984 is: 32,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,589.44 : 111,856 = 21,984 : x
  2. Step 2: Convert to fraction form
    74,589.44/111,856 = 21,984/x
  3. Step 3: Cross multiply
    74,589.44x = 111,856 × 21,984
  4. Step 4: Simplify right side
    74,589.44x = 2,459,042,304
  5. Step 5: Solve for x
    x = 2,459,042,304/74,589.44
  6. Step 6: Final answer
    x = 32,967.70

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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.