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Finding the Fourth Proportional to 106,462.31, 159,687.18 and 39,896.87

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Solution

The fourth proportional to 106,462.31, 159,687.18 and 39,896.87 is: 59,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.31 : 159,687.18 = 39,896.87 : x
  2. Step 2: Convert to fraction form
    106,462.31/159,687.18 = 39,896.87/x
  3. Step 3: Cross multiply
    106,462.31x = 159,687.18 × 39,896.87
  4. Step 4: Simplify right side
    106,462.31x = 6,371,017,862.69
  5. Step 5: Solve for x
    x = 6,371,017,862.69/106,462.31
  6. Step 6: Final answer
    x = 59,842.95

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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.