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Finding the Fourth Proportional to 57,493.62, 79,340.38 and 31,999.98

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Solution

The fourth proportional to 57,493.62, 79,340.38 and 31,999.98 is: 44,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.62 : 79,340.38 = 31,999.98 : x
  2. Step 2: Convert to fraction form
    57,493.62/79,340.38 = 31,999.98/x
  3. Step 3: Cross multiply
    57,493.62x = 79,340.38 × 31,999.98
  4. Step 4: Simplify right side
    57,493.62x = 2,538,890,790.72
  5. Step 5: Solve for x
    x = 2,538,890,790.72/57,493.62
  6. Step 6: Final answer
    x = 44,159.52

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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.