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Finding the Fourth Proportional to 63,836.31, 88,100.27 and 35,542

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Solution

The fourth proportional to 63,836.31, 88,100.27 and 35,542 is: 49,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,836.31 : 88,100.27 = 35,542 : x
  2. Step 2: Convert to fraction form
    63,836.31/88,100.27 = 35,542/x
  3. Step 3: Cross multiply
    63,836.31x = 88,100.27 × 35,542
  4. Step 4: Simplify right side
    63,836.31x = 3,131,259,796.34
  5. Step 5: Solve for x
    x = 3,131,259,796.34/63,836.31
  6. Step 6: Final answer
    x = 49,051.39

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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.