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Finding the Fourth Proportional to 33,666.93, 46,443 and 20,233.20

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Solution

The fourth proportional to 33,666.93, 46,443 and 20,233.20 is: 27,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.93 : 46,443 = 20,233.20 : x
  2. Step 2: Convert to fraction form
    33,666.93/46,443 = 20,233.20/x
  3. Step 3: Cross multiply
    33,666.93x = 46,443 × 20,233.20
  4. Step 4: Simplify right side
    33,666.93x = 939,690,507.60
  5. Step 5: Solve for x
    x = 939,690,507.60/33,666.93
  6. Step 6: Final answer
    x = 27,911.38

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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.