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Finding the Fourth Proportional to 82,224, 123,355.44 and 26,820

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Solution

The fourth proportional to 82,224, 123,355.44 and 26,820 is: 40,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224 : 123,355.44 = 26,820 : x
  2. Step 2: Convert to fraction form
    82,224/123,355.44 = 26,820/x
  3. Step 3: Cross multiply
    82,224x = 123,355.44 × 26,820
  4. Step 4: Simplify right side
    82,224x = 3,308,392,900.80
  5. Step 5: Solve for x
    x = 3,308,392,900.80/82,224
  6. Step 6: Final answer
    x = 40,236.34

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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.