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Finding the Fourth Proportional to 33,230.27, 49,845.40 and 9,856.50

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Solution

The fourth proportional to 33,230.27, 49,845.40 and 9,856.50 is: 14,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.27 : 49,845.40 = 9,856.50 : x
  2. Step 2: Convert to fraction form
    33,230.27/49,845.40 = 9,856.50/x
  3. Step 3: Cross multiply
    33,230.27x = 49,845.40 × 9,856.50
  4. Step 4: Simplify right side
    33,230.27x = 491,301,185.10
  5. Step 5: Solve for x
    x = 491,301,185.10/33,230.27
  6. Step 6: Final answer
    x = 14,784.75

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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.