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Finding the Fourth Proportional to 81,994.65, 123,022.95 and 32,110.39

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Solution

The fourth proportional to 81,994.65, 123,022.95 and 32,110.39 is: 48,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,994.65 : 123,022.95 = 32,110.39 : x
  2. Step 2: Convert to fraction form
    81,994.65/123,022.95 = 32,110.39/x
  3. Step 3: Cross multiply
    81,994.65x = 123,022.95 × 32,110.39
  4. Step 4: Simplify right side
    81,994.65x = 3,950,314,903.45
  5. Step 5: Solve for x
    x = 3,950,314,903.45/81,994.65
  6. Step 6: Final answer
    x = 48,177.72

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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.