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Finding the Fourth Proportional to 33,033.56, 49,543.86 and 9,654.54

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Solution

The fourth proportional to 33,033.56, 49,543.86 and 9,654.54 is: 14,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.56 : 49,543.86 = 9,654.54 : x
  2. Step 2: Convert to fraction form
    33,033.56/49,543.86 = 9,654.54/x
  3. Step 3: Cross multiply
    33,033.56x = 49,543.86 × 9,654.54
  4. Step 4: Simplify right side
    33,033.56x = 478,323,178.12
  5. Step 5: Solve for x
    x = 478,323,178.12/33,033.56
  6. Step 6: Final answer
    x = 14,479.92

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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.