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Finding the Fourth Proportional to 106,033.98, 158,836.14 and 49,026.87

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Solution

The fourth proportional to 106,033.98, 158,836.14 and 49,026.87 is: 73,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.98 : 158,836.14 = 49,026.87 : x
  2. Step 2: Convert to fraction form
    106,033.98/158,836.14 = 49,026.87/x
  3. Step 3: Cross multiply
    106,033.98x = 158,836.14 × 49,026.87
  4. Step 4: Simplify right side
    106,033.98x = 7,787,237,870.33
  5. Step 5: Solve for x
    x = 7,787,237,870.33/106,033.98
  6. Step 6: Final answer
    x = 73,440.97

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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.