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Finding the Fourth Proportional to 57,145.97, 85,644.44 and 31,844.43

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Solution

The fourth proportional to 57,145.97, 85,644.44 and 31,844.43 is: 47,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.97 : 85,644.44 = 31,844.43 : x
  2. Step 2: Convert to fraction form
    57,145.97/85,644.44 = 31,844.43/x
  3. Step 3: Cross multiply
    57,145.97x = 85,644.44 × 31,844.43
  4. Step 4: Simplify right side
    57,145.97x = 2,727,298,374.47
  5. Step 5: Solve for x
    x = 2,727,298,374.47/57,145.97
  6. Step 6: Final answer
    x = 47,725.12

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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.