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Finding the Fourth Proportional to 33,101.84, 49,661 and 9,728.28

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Solution

The fourth proportional to 33,101.84, 49,661 and 9,728.28 is: 14,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.84 : 49,661 = 9,728.28 : x
  2. Step 2: Convert to fraction form
    33,101.84/49,661 = 9,728.28/x
  3. Step 3: Cross multiply
    33,101.84x = 49,661 × 9,728.28
  4. Step 4: Simplify right side
    33,101.84x = 483,116,113.08
  5. Step 5: Solve for x
    x = 483,116,113.08/33,101.84
  6. Step 6: Final answer
    x = 14,594.84

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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.