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Finding the Fourth Proportional to 59,456.67, 89,198.73 and 20,012.82

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Solution

The fourth proportional to 59,456.67, 89,198.73 and 20,012.82 is: 30,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,456.67 : 89,198.73 = 20,012.82 : x
  2. Step 2: Convert to fraction form
    59,456.67/89,198.73 = 20,012.82/x
  3. Step 3: Cross multiply
    59,456.67x = 89,198.73 × 20,012.82
  4. Step 4: Simplify right side
    59,456.67x = 1,785,118,127.72
  5. Step 5: Solve for x
    x = 1,785,118,127.72/59,456.67
  6. Step 6: Final answer
    x = 30,023.85

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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.