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Finding the Fourth Proportional to 49,596.38, 68,417.59 and 31,672.49

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Solution

The fourth proportional to 49,596.38, 68,417.59 and 31,672.49 is: 43,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596.38 : 68,417.59 = 31,672.49 : x
  2. Step 2: Convert to fraction form
    49,596.38/68,417.59 = 31,672.49/x
  3. Step 3: Cross multiply
    49,596.38x = 68,417.59 × 31,672.49
  4. Step 4: Simplify right side
    49,596.38x = 2,166,955,435.10
  5. Step 5: Solve for x
    x = 2,166,955,435.10/49,596.38
  6. Step 6: Final answer
    x = 43,691.81

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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.