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Finding the Fourth Proportional to 106,639.98, 159,832.74 and 49,637.22

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Solution

The fourth proportional to 106,639.98, 159,832.74 and 49,637.22 is: 74,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,639.98 : 159,832.74 = 49,637.22 : x
  2. Step 2: Convert to fraction form
    106,639.98/159,832.74 = 49,637.22/x
  3. Step 3: Cross multiply
    106,639.98x = 159,832.74 × 49,637.22
  4. Step 4: Simplify right side
    106,639.98x = 7,933,652,878.58
  5. Step 5: Solve for x
    x = 7,933,652,878.58/106,639.98
  6. Step 6: Final answer
    x = 74,396.61

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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.