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Finding the Fourth Proportional to 82,227.34, 113,467.39 and 46,420.89

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Solution

The fourth proportional to 82,227.34, 113,467.39 and 46,420.89 is: 64,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.34 : 113,467.39 = 46,420.89 : x
  2. Step 2: Convert to fraction form
    82,227.34/113,467.39 = 46,420.89/x
  3. Step 3: Cross multiply
    82,227.34x = 113,467.39 × 46,420.89
  4. Step 4: Simplify right side
    82,227.34x = 5,267,257,229.78
  5. Step 5: Solve for x
    x = 5,267,257,229.78/82,227.34
  6. Step 6: Final answer
    x = 64,057.25

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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.