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Finding the Fourth Proportional to 81,632.82, 122,444.90 and 25,466.49

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Solution

The fourth proportional to 81,632.82, 122,444.90 and 25,466.49 is: 38,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,632.82 : 122,444.90 = 25,466.49 : x
  2. Step 2: Convert to fraction form
    81,632.82/122,444.90 = 25,466.49/x
  3. Step 3: Cross multiply
    81,632.82x = 122,444.90 × 25,466.49
  4. Step 4: Simplify right side
    81,632.82x = 3,118,241,821.40
  5. Step 5: Solve for x
    x = 3,118,241,821.40/81,632.82
  6. Step 6: Final answer
    x = 38,198.38

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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.