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Finding the Fourth Proportional to 81,885.28, 113,015.44 and 47,424.96

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Solution

The fourth proportional to 81,885.28, 113,015.44 and 47,424.96 is: 65,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.28 : 113,015.44 = 47,424.96 : x
  2. Step 2: Convert to fraction form
    81,885.28/113,015.44 = 47,424.96/x
  3. Step 3: Cross multiply
    81,885.28x = 113,015.44 × 47,424.96
  4. Step 4: Simplify right side
    81,885.28x = 5,359,752,721.38
  5. Step 5: Solve for x
    x = 5,359,752,721.38/81,885.28
  6. Step 6: Final answer
    x = 65,454.41

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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.