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Finding the Fourth Proportional to 33,056.61, 49,584.93 and 9,683.07

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Solution

The fourth proportional to 33,056.61, 49,584.93 and 9,683.07 is: 14,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056.61 : 49,584.93 = 9,683.07 : x
  2. Step 2: Convert to fraction form
    33,056.61/49,584.93 = 9,683.07/x
  3. Step 3: Cross multiply
    33,056.61x = 49,584.93 × 9,683.07
  4. Step 4: Simplify right side
    33,056.61x = 480,134,348.14
  5. Step 5: Solve for x
    x = 480,134,348.14/33,056.61
  6. Step 6: Final answer
    x = 14,524.61

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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.