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Finding the Fourth Proportional to 54,433, 81,649.56 and 21,601

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Solution

The fourth proportional to 54,433, 81,649.56 and 21,601 is: 32,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,433 : 81,649.56 = 21,601 : x
  2. Step 2: Convert to fraction form
    54,433/81,649.56 = 21,601/x
  3. Step 3: Cross multiply
    54,433x = 81,649.56 × 21,601
  4. Step 4: Simplify right side
    54,433x = 1,763,712,145.56
  5. Step 5: Solve for x
    x = 1,763,712,145.56/54,433
  6. Step 6: Final answer
    x = 32,401.52

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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.