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Finding the Fourth Proportional to 51,961.95, 71,691.15 and 31,797.81

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Solution

The fourth proportional to 51,961.95, 71,691.15 and 31,797.81 is: 43,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961.95 : 71,691.15 = 31,797.81 : x
  2. Step 2: Convert to fraction form
    51,961.95/71,691.15 = 31,797.81/x
  3. Step 3: Cross multiply
    51,961.95x = 71,691.15 × 31,797.81
  4. Step 4: Simplify right side
    51,961.95x = 2,279,621,566.38
  5. Step 5: Solve for x
    x = 2,279,621,566.38/51,961.95
  6. Step 6: Final answer
    x = 43,870.98

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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.