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Finding the Fourth Proportional to 51,738.71, 71,400.11 and 31,320.54

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Solution

The fourth proportional to 51,738.71, 71,400.11 and 31,320.54 is: 43,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.71 : 71,400.11 = 31,320.54 : x
  2. Step 2: Convert to fraction form
    51,738.71/71,400.11 = 31,320.54/x
  3. Step 3: Cross multiply
    51,738.71x = 71,400.11 × 31,320.54
  4. Step 4: Simplify right side
    51,738.71x = 2,236,289,844.66
  5. Step 5: Solve for x
    x = 2,236,289,844.66/51,738.71
  6. Step 6: Final answer
    x = 43,222.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.