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Finding the Fourth Proportional to 33,134.49, 49,684.71 and 9,757.89

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Solution

The fourth proportional to 33,134.49, 49,684.71 and 9,757.89 is: 14,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,134.49 : 49,684.71 = 9,757.89 : x
  2. Step 2: Convert to fraction form
    33,134.49/49,684.71 = 9,757.89/x
  3. Step 3: Cross multiply
    33,134.49x = 49,684.71 × 9,757.89
  4. Step 4: Simplify right side
    33,134.49x = 484,817,886.07
  5. Step 5: Solve for x
    x = 484,817,886.07/33,134.49
  6. Step 6: Final answer
    x = 14,631.82

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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.