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Finding the Fourth Proportional to 33,084.65, 49,621.74 and 27,498.18

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Solution

The fourth proportional to 33,084.65, 49,621.74 and 27,498.18 is: 41,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084.65 : 49,621.74 = 27,498.18 : x
  2. Step 2: Convert to fraction form
    33,084.65/49,621.74 = 27,498.18/x
  3. Step 3: Cross multiply
    33,084.65x = 49,621.74 × 27,498.18
  4. Step 4: Simplify right side
    33,084.65x = 1,364,507,538.43
  5. Step 5: Solve for x
    x = 1,364,507,538.43/33,084.65
  6. Step 6: Final answer
    x = 41,242.93

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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.