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Finding the Fourth Proportional to 51,812.73, 71,500.01 and 31,406.87

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Solution

The fourth proportional to 51,812.73, 71,500.01 and 31,406.87 is: 43,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.73 : 71,500.01 = 31,406.87 : x
  2. Step 2: Convert to fraction form
    51,812.73/71,500.01 = 31,406.87/x
  3. Step 3: Cross multiply
    51,812.73x = 71,500.01 × 31,406.87
  4. Step 4: Simplify right side
    51,812.73x = 2,245,591,004.53
  5. Step 5: Solve for x
    x = 2,245,591,004.53/51,812.73
  6. Step 6: Final answer
    x = 43,340.53

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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.