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Finding the Fourth Proportional to 48,892.50, 73,338.84 and 17,727.84

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Solution

The fourth proportional to 48,892.50, 73,338.84 and 17,727.84 is: 26,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892.50 : 73,338.84 = 17,727.84 : x
  2. Step 2: Convert to fraction form
    48,892.50/73,338.84 = 17,727.84/x
  3. Step 3: Cross multiply
    48,892.50x = 73,338.84 × 17,727.84
  4. Step 4: Simplify right side
    48,892.50x = 1,300,139,221.31
  5. Step 5: Solve for x
    x = 1,300,139,221.31/48,892.50
  6. Step 6: Final answer
    x = 26,591.79

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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.