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Finding the Fourth Proportional to 81,994.48, 122,913.28 and 32,057.98

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Solution

The fourth proportional to 81,994.48, 122,913.28 and 32,057.98 is: 48,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,994.48 : 122,913.28 = 32,057.98 : x
  2. Step 2: Convert to fraction form
    81,994.48/122,913.28 = 32,057.98/x
  3. Step 3: Cross multiply
    81,994.48x = 122,913.28 × 32,057.98
  4. Step 4: Simplify right side
    81,994.48x = 3,940,351,471.97
  5. Step 5: Solve for x
    x = 3,940,351,471.97/81,994.48
  6. Step 6: Final answer
    x = 48,056.30

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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.