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Finding the Fourth Proportional to 57,906.21, 79,903.84 and 32,414

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Solution

The fourth proportional to 57,906.21, 79,903.84 and 32,414 is: 44,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906.21 : 79,903.84 = 32,414 : x
  2. Step 2: Convert to fraction form
    57,906.21/79,903.84 = 32,414/x
  3. Step 3: Cross multiply
    57,906.21x = 79,903.84 × 32,414
  4. Step 4: Simplify right side
    57,906.21x = 2,590,003,069.76
  5. Step 5: Solve for x
    x = 2,590,003,069.76/57,906.21
  6. Step 6: Final answer
    x = 44,727.55

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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.