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Finding the Fourth Proportional to 33,758.38, 50,643.72 and 11,574

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Solution

The fourth proportional to 33,758.38, 50,643.72 and 11,574 is: 17,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758.38 : 50,643.72 = 11,574 : x
  2. Step 2: Convert to fraction form
    33,758.38/50,643.72 = 11,574/x
  3. Step 3: Cross multiply
    33,758.38x = 50,643.72 × 11,574
  4. Step 4: Simplify right side
    33,758.38x = 586,150,415.28
  5. Step 5: Solve for x
    x = 586,150,415.28/33,758.38
  6. Step 6: Final answer
    x = 17,363.11

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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.