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Finding the Fourth Proportional to 52,902.62, 79,274.19 and 31,819.64

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Solution

The fourth proportional to 52,902.62, 79,274.19 and 31,819.64 is: 47,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902.62 : 79,274.19 = 31,819.64 : x
  2. Step 2: Convert to fraction form
    52,902.62/79,274.19 = 31,819.64/x
  3. Step 3: Cross multiply
    52,902.62x = 79,274.19 × 31,819.64
  4. Step 4: Simplify right side
    52,902.62x = 2,522,475,910.04
  5. Step 5: Solve for x
    x = 2,522,475,910.04/52,902.62
  6. Step 6: Final answer
    x = 47,681.49

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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.