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Finding the Fourth Proportional to 57,493.50, 79,341.12 and 31,997.94

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Solution

The fourth proportional to 57,493.50, 79,341.12 and 31,997.94 is: 44,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.50 : 79,341.12 = 31,997.94 : x
  2. Step 2: Convert to fraction form
    57,493.50/79,341.12 = 31,997.94/x
  3. Step 3: Cross multiply
    57,493.50x = 79,341.12 × 31,997.94
  4. Step 4: Simplify right side
    57,493.50x = 2,538,752,397.29
  5. Step 5: Solve for x
    x = 2,538,752,397.29/57,493.50
  6. Step 6: Final answer
    x = 44,157.21

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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.