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Finding the Fourth Proportional to 33,668, 46,462.80 and 18,764.96

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Solution

The fourth proportional to 33,668, 46,462.80 and 18,764.96 is: 25,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,668 : 46,462.80 = 18,764.96 : x
  2. Step 2: Convert to fraction form
    33,668/46,462.80 = 18,764.96/x
  3. Step 3: Cross multiply
    33,668x = 46,462.80 × 18,764.96
  4. Step 4: Simplify right side
    33,668x = 871,872,583.49
  5. Step 5: Solve for x
    x = 871,872,583.49/33,668
  6. Step 6: Final answer
    x = 25,896.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.