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Finding the Fourth Proportional to 74,227.84, 111,353.28 and 24,976

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Solution

The fourth proportional to 74,227.84, 111,353.28 and 24,976 is: 37,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,227.84 : 111,353.28 = 24,976 : x
  2. Step 2: Convert to fraction form
    74,227.84/111,353.28 = 24,976/x
  3. Step 3: Cross multiply
    74,227.84x = 111,353.28 × 24,976
  4. Step 4: Simplify right side
    74,227.84x = 2,781,159,521.28
  5. Step 5: Solve for x
    x = 2,781,159,521.28/74,227.84
  6. Step 6: Final answer
    x = 37,467.88

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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.