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Finding the Fourth Proportional to 33,176, 49,764 and 9,818.84

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Solution

The fourth proportional to 33,176, 49,764 and 9,818.84 is: 14,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176 : 49,764 = 9,818.84 : x
  2. Step 2: Convert to fraction form
    33,176/49,764 = 9,818.84/x
  3. Step 3: Cross multiply
    33,176x = 49,764 × 9,818.84
  4. Step 4: Simplify right side
    33,176x = 488,624,753.76
  5. Step 5: Solve for x
    x = 488,624,753.76/33,176
  6. Step 6: Final answer
    x = 14,728.26

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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.