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Finding the Fourth Proportional to 33,894.04, 50,841.54 and 10,519

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Solution

The fourth proportional to 33,894.04, 50,841.54 and 10,519 is: 15,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.04 : 50,841.54 = 10,519 : x
  2. Step 2: Convert to fraction form
    33,894.04/50,841.54 = 10,519/x
  3. Step 3: Cross multiply
    33,894.04x = 50,841.54 × 10,519
  4. Step 4: Simplify right side
    33,894.04x = 534,802,159.26
  5. Step 5: Solve for x
    x = 534,802,159.26/33,894.04
  6. Step 6: Final answer
    x = 15,778.65

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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.