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Finding the Fourth Proportional to 33,697, 46,496.38 and 20,265.04

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Solution

The fourth proportional to 33,697, 46,496.38 and 20,265.04 is: 27,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697 : 46,496.38 = 20,265.04 : x
  2. Step 2: Convert to fraction form
    33,697/46,496.38 = 20,265.04/x
  3. Step 3: Cross multiply
    33,697x = 46,496.38 × 20,265.04
  4. Step 4: Simplify right side
    33,697x = 942,251,000.56
  5. Step 5: Solve for x
    x = 942,251,000.56/33,697
  6. Step 6: Final answer
    x = 27,962.46

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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.