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Finding the Fourth Proportional to 106,566, 159,849.12 and 32,694

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Solution

The fourth proportional to 106,566, 159,849.12 and 32,694 is: 49,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 159,849.12 = 32,694 : x
  2. Step 2: Convert to fraction form
    106,566/159,849.12 = 32,694/x
  3. Step 3: Cross multiply
    106,566x = 159,849.12 × 32,694
  4. Step 4: Simplify right side
    106,566x = 5,226,107,129.28
  5. Step 5: Solve for x
    x = 5,226,107,129.28/106,566
  6. Step 6: Final answer
    x = 49,041.04

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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.