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Finding the Fourth Proportional to 52,819.64, 72,891.08 and 30,463.64

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Solution

The fourth proportional to 52,819.64, 72,891.08 and 30,463.64 is: 42,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,819.64 : 72,891.08 = 30,463.64 : x
  2. Step 2: Convert to fraction form
    52,819.64/72,891.08 = 30,463.64/x
  3. Step 3: Cross multiply
    52,819.64x = 72,891.08 × 30,463.64
  4. Step 4: Simplify right side
    52,819.64x = 2,220,527,620.33
  5. Step 5: Solve for x
    x = 2,220,527,620.33/52,819.64
  6. Step 6: Final answer
    x = 42,039.81

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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.