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Finding the Fourth Proportional to 35,644.96, 49,185.73 and 20,542.57

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Solution

The fourth proportional to 35,644.96, 49,185.73 and 20,542.57 is: 28,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.96 : 49,185.73 = 20,542.57 : x
  2. Step 2: Convert to fraction form
    35,644.96/49,185.73 = 20,542.57/x
  3. Step 3: Cross multiply
    35,644.96x = 49,185.73 × 20,542.57
  4. Step 4: Simplify right side
    35,644.96x = 1,010,401,301.53
  5. Step 5: Solve for x
    x = 1,010,401,301.53/35,644.96
  6. Step 6: Final answer
    x = 28,346.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.