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Finding the Fourth Proportional to 33,185.92, 49,778.88 and 9,814.72

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Solution

The fourth proportional to 33,185.92, 49,778.88 and 9,814.72 is: 14,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,185.92 : 49,778.88 = 9,814.72 : x
  2. Step 2: Convert to fraction form
    33,185.92/49,778.88 = 9,814.72/x
  3. Step 3: Cross multiply
    33,185.92x = 49,778.88 × 9,814.72
  4. Step 4: Simplify right side
    33,185.92x = 488,565,769.11
  5. Step 5: Solve for x
    x = 488,565,769.11/33,185.92
  6. Step 6: Final answer
    x = 14,722.08

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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.