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Finding the Fourth Proportional to 33,102, 49,653 and 9,727.92

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Solution

The fourth proportional to 33,102, 49,653 and 9,727.92 is: 14,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102 : 49,653 = 9,727.92 : x
  2. Step 2: Convert to fraction form
    33,102/49,653 = 9,727.92/x
  3. Step 3: Cross multiply
    33,102x = 49,653 × 9,727.92
  4. Step 4: Simplify right side
    33,102x = 483,020,411.76
  5. Step 5: Solve for x
    x = 483,020,411.76/33,102
  6. Step 6: Final answer
    x = 14,591.88

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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.