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Finding the Fourth Proportional to 106,662, 160,018.92 and 32,790

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Solution

The fourth proportional to 106,662, 160,018.92 and 32,790 is: 49,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,662 : 160,018.92 = 32,790 : x
  2. Step 2: Convert to fraction form
    106,662/160,018.92 = 32,790/x
  3. Step 3: Cross multiply
    106,662x = 160,018.92 × 32,790
  4. Step 4: Simplify right side
    106,662x = 5,247,020,386.80
  5. Step 5: Solve for x
    x = 5,247,020,386.80/106,662
  6. Step 6: Final answer
    x = 49,192.97

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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.