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Finding the Fourth Proportional to 33,034.35, 49,549.74 and 11,685.57

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Solution

The fourth proportional to 33,034.35, 49,549.74 and 11,685.57 is: 17,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.35 : 49,549.74 = 11,685.57 : x
  2. Step 2: Convert to fraction form
    33,034.35/49,549.74 = 11,685.57/x
  3. Step 3: Cross multiply
    33,034.35x = 49,549.74 × 11,685.57
  4. Step 4: Simplify right side
    33,034.35x = 579,016,955.25
  5. Step 5: Solve for x
    x = 579,016,955.25/33,034.35
  6. Step 6: Final answer
    x = 17,527.72

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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.