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Finding the Fourth Proportional to 57,266.82, 79,037.70 and 31,781.38

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Solution

The fourth proportional to 57,266.82, 79,037.70 and 31,781.38 is: 43,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,266.82 : 79,037.70 = 31,781.38 : x
  2. Step 2: Convert to fraction form
    57,266.82/79,037.70 = 31,781.38/x
  3. Step 3: Cross multiply
    57,266.82x = 79,037.70 × 31,781.38
  4. Step 4: Simplify right side
    57,266.82x = 2,511,927,178.03
  5. Step 5: Solve for x
    x = 2,511,927,178.03/57,266.82
  6. Step 6: Final answer
    x = 43,863.57

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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.