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Finding the Fourth Proportional to 33,156, 49,747.92 and 13,448.64

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Solution

The fourth proportional to 33,156, 49,747.92 and 13,448.64 is: 20,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 49,747.92 = 13,448.64 : x
  2. Step 2: Convert to fraction form
    33,156/49,747.92 = 13,448.64/x
  3. Step 3: Cross multiply
    33,156x = 49,747.92 × 13,448.64
  4. Step 4: Simplify right side
    33,156x = 669,041,866.83
  5. Step 5: Solve for x
    x = 669,041,866.83/33,156
  6. Step 6: Final answer
    x = 20,178.61

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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.