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Finding the Fourth Proportional to 41,462.31, 57,217.95 and 22,599.57

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Solution

The fourth proportional to 41,462.31, 57,217.95 and 22,599.57 is: 31,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,462.31 : 57,217.95 = 22,599.57 : x
  2. Step 2: Convert to fraction form
    41,462.31/57,217.95 = 22,599.57/x
  3. Step 3: Cross multiply
    41,462.31x = 57,217.95 × 22,599.57
  4. Step 4: Simplify right side
    41,462.31x = 1,293,101,066.28
  5. Step 5: Solve for x
    x = 1,293,101,066.28/41,462.31
  6. Step 6: Final answer
    x = 31,187.39

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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.