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Finding the Fourth Proportional to 106,821, 160,233.66 and 32,949

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Solution

The fourth proportional to 106,821, 160,233.66 and 32,949 is: 49,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,821 : 160,233.66 = 32,949 : x
  2. Step 2: Convert to fraction form
    106,821/160,233.66 = 32,949/x
  3. Step 3: Cross multiply
    106,821x = 160,233.66 × 32,949
  4. Step 4: Simplify right side
    106,821x = 5,279,538,863.34
  5. Step 5: Solve for x
    x = 5,279,538,863.34/106,821
  6. Step 6: Final answer
    x = 49,424.17

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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.