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Finding the Fourth Proportional to 35,892.24, 49,525.20 and 19,974.48

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Solution

The fourth proportional to 35,892.24, 49,525.20 and 19,974.48 is: 27,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.24 : 49,525.20 = 19,974.48 : x
  2. Step 2: Convert to fraction form
    35,892.24/49,525.20 = 19,974.48/x
  3. Step 3: Cross multiply
    35,892.24x = 49,525.20 × 19,974.48
  4. Step 4: Simplify right side
    35,892.24x = 989,240,116.90
  5. Step 5: Solve for x
    x = 989,240,116.90/35,892.24
  6. Step 6: Final answer
    x = 27,561.39

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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.