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Finding the Fourth Proportional to 33,894.50, 50,849.20 and 13,904.11

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Solution

The fourth proportional to 33,894.50, 50,849.20 and 13,904.11 is: 20,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.50 : 50,849.20 = 13,904.11 : x
  2. Step 2: Convert to fraction form
    33,894.50/50,849.20 = 13,904.11/x
  3. Step 3: Cross multiply
    33,894.50x = 50,849.20 × 13,904.11
  4. Step 4: Simplify right side
    33,894.50x = 707,012,870.21
  5. Step 5: Solve for x
    x = 707,012,870.21/33,894.50
  6. Step 6: Final answer
    x = 20,859.22

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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.