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Finding the Fourth Proportional to 33,102.28, 49,642.88 and 10,911.52

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Solution

The fourth proportional to 33,102.28, 49,642.88 and 10,911.52 is: 16,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.28 : 49,642.88 = 10,911.52 : x
  2. Step 2: Convert to fraction form
    33,102.28/49,642.88 = 10,911.52/x
  3. Step 3: Cross multiply
    33,102.28x = 49,642.88 × 10,911.52
  4. Step 4: Simplify right side
    33,102.28x = 541,679,223.42
  5. Step 5: Solve for x
    x = 541,679,223.42/33,102.28
  6. Step 6: Final answer
    x = 16,363.80

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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.