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Finding the Fourth Proportional to 33,251.94, 49,886.13 and 9,878.34

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Solution

The fourth proportional to 33,251.94, 49,886.13 and 9,878.34 is: 14,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,251.94 : 49,886.13 = 9,878.34 : x
  2. Step 2: Convert to fraction form
    33,251.94/49,886.13 = 9,878.34/x
  3. Step 3: Cross multiply
    33,251.94x = 49,886.13 × 9,878.34
  4. Step 4: Simplify right side
    33,251.94x = 492,792,153.42
  5. Step 5: Solve for x
    x = 492,792,153.42/33,251.94
  6. Step 6: Final answer
    x = 14,819.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.