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Finding the Fourth Proportional to 131,797.38, 197,696.75 and 31,957.59

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Solution

The fourth proportional to 131,797.38, 197,696.75 and 31,957.59 is: 47,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,797.38 : 197,696.75 = 31,957.59 : x
  2. Step 2: Convert to fraction form
    131,797.38/197,696.75 = 31,957.59/x
  3. Step 3: Cross multiply
    131,797.38x = 197,696.75 × 31,957.59
  4. Step 4: Simplify right side
    131,797.38x = 6,317,911,680.83
  5. Step 5: Solve for x
    x = 6,317,911,680.83/131,797.38
  6. Step 6: Final answer
    x = 47,936.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.