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Finding the Fourth Proportional to 33,277.86, 49,902.93 and 13,543.02

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Solution

The fourth proportional to 33,277.86, 49,902.93 and 13,543.02 is: 20,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.86 : 49,902.93 = 13,543.02 : x
  2. Step 2: Convert to fraction form
    33,277.86/49,902.93 = 13,543.02/x
  3. Step 3: Cross multiply
    33,277.86x = 49,902.93 × 13,543.02
  4. Step 4: Simplify right side
    33,277.86x = 675,836,379.05
  5. Step 5: Solve for x
    x = 675,836,379.05/33,277.86
  6. Step 6: Final answer
    x = 20,308.89

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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.