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Finding the Fourth Proportional to 88,224, 132,353.28 and 38,976

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Solution

The fourth proportional to 88,224, 132,353.28 and 38,976 is: 58,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,224 : 132,353.28 = 38,976 : x
  2. Step 2: Convert to fraction form
    88,224/132,353.28 = 38,976/x
  3. Step 3: Cross multiply
    88,224x = 132,353.28 × 38,976
  4. Step 4: Simplify right side
    88,224x = 5,158,601,441.28
  5. Step 5: Solve for x
    x = 5,158,601,441.28/88,224
  6. Step 6: Final answer
    x = 58,471.63

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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.