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Finding the Fourth Proportional to 33,227.28, 49,840.68 and 9,851.76

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Solution

The fourth proportional to 33,227.28, 49,840.68 and 9,851.76 is: 14,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.28 : 49,840.68 = 9,851.76 : x
  2. Step 2: Convert to fraction form
    33,227.28/49,840.68 = 9,851.76/x
  3. Step 3: Cross multiply
    33,227.28x = 49,840.68 × 9,851.76
  4. Step 4: Simplify right side
    33,227.28x = 491,018,417.60
  5. Step 5: Solve for x
    x = 491,018,417.60/33,227.28
  6. Step 6: Final answer
    x = 14,777.57

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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.