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Finding the Fourth Proportional to 50,503.34, 69,695.10 and 27,843.17

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Solution

The fourth proportional to 50,503.34, 69,695.10 and 27,843.17 is: 38,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.34 : 69,695.10 = 27,843.17 : x
  2. Step 2: Convert to fraction form
    50,503.34/69,695.10 = 27,843.17/x
  3. Step 3: Cross multiply
    50,503.34x = 69,695.10 × 27,843.17
  4. Step 4: Simplify right side
    50,503.34x = 1,940,532,168.99
  5. Step 5: Solve for x
    x = 1,940,532,168.99/50,503.34
  6. Step 6: Final answer
    x = 38,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.