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Finding the Fourth Proportional to 35,647.38, 49,194.45 and 19,731.51

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Solution

The fourth proportional to 35,647.38, 49,194.45 and 19,731.51 is: 27,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.38 : 49,194.45 = 19,731.51 : x
  2. Step 2: Convert to fraction form
    35,647.38/49,194.45 = 19,731.51/x
  3. Step 3: Cross multiply
    35,647.38x = 49,194.45 × 19,731.51
  4. Step 4: Simplify right side
    35,647.38x = 970,680,782.12
  5. Step 5: Solve for x
    x = 970,680,782.12/35,647.38
  6. Step 6: Final answer
    x = 27,230.07

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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.