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Finding the Fourth Proportional to 106,562.71, 159,844.02 and 31,682.53

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Solution

The fourth proportional to 106,562.71, 159,844.02 and 31,682.53 is: 47,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.71 : 159,844.02 = 31,682.53 : x
  2. Step 2: Convert to fraction form
    106,562.71/159,844.02 = 31,682.53/x
  3. Step 3: Cross multiply
    106,562.71x = 159,844.02 × 31,682.53
  4. Step 4: Simplify right side
    106,562.71x = 5,064,262,958.97
  5. Step 5: Solve for x
    x = 5,064,262,958.97/106,562.71
  6. Step 6: Final answer
    x = 47,523.78

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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.