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Finding the Fourth Proportional to 106,837, 160,257.66 and 32,965

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Solution

The fourth proportional to 106,837, 160,257.66 and 32,965 is: 49,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,837 : 160,257.66 = 32,965 : x
  2. Step 2: Convert to fraction form
    106,837/160,257.66 = 32,965/x
  3. Step 3: Cross multiply
    106,837x = 160,257.66 × 32,965
  4. Step 4: Simplify right side
    106,837x = 5,282,893,761.90
  5. Step 5: Solve for x
    x = 5,282,893,761.90/106,837
  6. Step 6: Final answer
    x = 49,448.17

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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.