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Finding the Fourth Proportional to 49,594.38, 68,414.83 and 31,670.49

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Solution

The fourth proportional to 49,594.38, 68,414.83 and 31,670.49 is: 43,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,594.38 : 68,414.83 = 31,670.49 : x
  2. Step 2: Convert to fraction form
    49,594.38/68,414.83 = 31,670.49/x
  3. Step 3: Cross multiply
    49,594.38x = 68,414.83 × 31,670.49
  4. Step 4: Simplify right side
    49,594.38x = 2,166,731,366.75
  5. Step 5: Solve for x
    x = 2,166,731,366.75/49,594.38
  6. Step 6: Final answer
    x = 43,689.05

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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.