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Finding the Fourth Proportional to 106,103.49, 159,152.92 and 49,912.47

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Solution

The fourth proportional to 106,103.49, 159,152.92 and 49,912.47 is: 74,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.49 : 159,152.92 = 49,912.47 : x
  2. Step 2: Convert to fraction form
    106,103.49/159,152.92 = 49,912.47/x
  3. Step 3: Cross multiply
    106,103.49x = 159,152.92 × 49,912.47
  4. Step 4: Simplify right side
    106,103.49x = 7,943,715,220.13
  5. Step 5: Solve for x
    x = 7,943,715,220.13/106,103.49
  6. Step 6: Final answer
    x = 74,867.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.