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Finding the Fourth Proportional to 57,914.20, 86,899 and 32,633.88

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Solution

The fourth proportional to 57,914.20, 86,899 and 32,633.88 is: 48,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,914.20 : 86,899 = 32,633.88 : x
  2. Step 2: Convert to fraction form
    57,914.20/86,899 = 32,633.88/x
  3. Step 3: Cross multiply
    57,914.20x = 86,899 × 32,633.88
  4. Step 4: Simplify right side
    57,914.20x = 2,835,851,538.12
  5. Step 5: Solve for x
    x = 2,835,851,538.12/57,914.20
  6. Step 6: Final answer
    x = 48,966.43

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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.