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Finding the Fourth Proportional to 48,807.77, 73,189.17 and 18,391.46

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Solution

The fourth proportional to 48,807.77, 73,189.17 and 18,391.46 is: 27,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.77 : 73,189.17 = 18,391.46 : x
  2. Step 2: Convert to fraction form
    48,807.77/73,189.17 = 18,391.46/x
  3. Step 3: Cross multiply
    48,807.77x = 73,189.17 × 18,391.46
  4. Step 4: Simplify right side
    48,807.77x = 1,346,055,326.54
  5. Step 5: Solve for x
    x = 1,346,055,326.54/48,807.77
  6. Step 6: Final answer
    x = 27,578.71

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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.