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Finding the Fourth Proportional to 41,462.28, 57,217.59 and 22,599

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Solution

The fourth proportional to 41,462.28, 57,217.59 and 22,599 is: 31,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,462.28 : 57,217.59 = 22,599 : x
  2. Step 2: Convert to fraction form
    41,462.28/57,217.59 = 22,599/x
  3. Step 3: Cross multiply
    41,462.28x = 57,217.59 × 22,599
  4. Step 4: Simplify right side
    41,462.28x = 1,293,060,316.41
  5. Step 5: Solve for x
    x = 1,293,060,316.41/41,462.28
  6. Step 6: Final answer
    x = 31,186.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.