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Finding the Fourth Proportional to 33,718.28, 50,455.02 and 24,377

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Solution

The fourth proportional to 33,718.28, 50,455.02 and 24,377 is: 36,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,718.28 : 50,455.02 = 24,377 : x
  2. Step 2: Convert to fraction form
    33,718.28/50,455.02 = 24,377/x
  3. Step 3: Cross multiply
    33,718.28x = 50,455.02 × 24,377
  4. Step 4: Simplify right side
    33,718.28x = 1,229,942,022.54
  5. Step 5: Solve for x
    x = 1,229,942,022.54/33,718.28
  6. Step 6: Final answer
    x = 36,477.01

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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.