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Finding the Fourth Proportional to 33,481, 46,203.78 and 18,577

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Solution

The fourth proportional to 33,481, 46,203.78 and 18,577 is: 25,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481 : 46,203.78 = 18,577 : x
  2. Step 2: Convert to fraction form
    33,481/46,203.78 = 18,577/x
  3. Step 3: Cross multiply
    33,481x = 46,203.78 × 18,577
  4. Step 4: Simplify right side
    33,481x = 858,327,621.06
  5. Step 5: Solve for x
    x = 858,327,621.06/33,481
  6. Step 6: Final answer
    x = 25,636.26

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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.