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Finding the Fourth Proportional to 35,687.46, 49,225.86 and 22,936.31

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Solution

The fourth proportional to 35,687.46, 49,225.86 and 22,936.31 is: 31,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.46 : 49,225.86 = 22,936.31 : x
  2. Step 2: Convert to fraction form
    35,687.46/49,225.86 = 22,936.31/x
  3. Step 3: Cross multiply
    35,687.46x = 49,225.86 × 22,936.31
  4. Step 4: Simplify right side
    35,687.46x = 1,129,059,584.98
  5. Step 5: Solve for x
    x = 1,129,059,584.98/35,687.46
  6. Step 6: Final answer
    x = 31,637.43

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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.