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Finding the Fourth Proportional to 52,830.83, 72,914.02 and 32,694.20

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Solution

The fourth proportional to 52,830.83, 72,914.02 and 32,694.20 is: 45,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830.83 : 72,914.02 = 32,694.20 : x
  2. Step 2: Convert to fraction form
    52,830.83/72,914.02 = 32,694.20/x
  3. Step 3: Cross multiply
    52,830.83x = 72,914.02 × 32,694.20
  4. Step 4: Simplify right side
    52,830.83x = 2,383,865,552.68
  5. Step 5: Solve for x
    x = 2,383,865,552.68/52,830.83
  6. Step 6: Final answer
    x = 45,122.62

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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.