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Finding the Fourth Proportional to 33,164.32, 49,763.76 and 14,692

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Solution

The fourth proportional to 33,164.32, 49,763.76 and 14,692 is: 22,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.32 : 49,763.76 = 14,692 : x
  2. Step 2: Convert to fraction form
    33,164.32/49,763.76 = 14,692/x
  3. Step 3: Cross multiply
    33,164.32x = 49,763.76 × 14,692
  4. Step 4: Simplify right side
    33,164.32x = 731,129,161.92
  5. Step 5: Solve for x
    x = 731,129,161.92/33,164.32
  6. Step 6: Final answer
    x = 22,045.66

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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.