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Finding the Fourth Proportional to 48,809.94, 67,352.11 and 27,589.15

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Solution

The fourth proportional to 48,809.94, 67,352.11 and 27,589.15 is: 38,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809.94 : 67,352.11 = 27,589.15 : x
  2. Step 2: Convert to fraction form
    48,809.94/67,352.11 = 27,589.15/x
  3. Step 3: Cross multiply
    48,809.94x = 67,352.11 × 27,589.15
  4. Step 4: Simplify right side
    48,809.94x = 1,858,187,465.61
  5. Step 5: Solve for x
    x = 1,858,187,465.61/48,809.94
  6. Step 6: Final answer
    x = 38,069.86

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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.