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Finding the Fourth Proportional to 33,228.28, 49,842.54 and 9,854.92

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Solution

The fourth proportional to 33,228.28, 49,842.54 and 9,854.92 is: 14,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.28 : 49,842.54 = 9,854.92 : x
  2. Step 2: Convert to fraction form
    33,228.28/49,842.54 = 9,854.92/x
  3. Step 3: Cross multiply
    33,228.28x = 49,842.54 × 9,854.92
  4. Step 4: Simplify right side
    33,228.28x = 491,194,244.30
  5. Step 5: Solve for x
    x = 491,194,244.30/33,228.28
  6. Step 6: Final answer
    x = 14,782.42

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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.