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Finding the Fourth Proportional to 50,442.86, 69,617.81 and 32,589.80

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Solution

The fourth proportional to 50,442.86, 69,617.81 and 32,589.80 is: 44,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.86 : 69,617.81 = 32,589.80 : x
  2. Step 2: Convert to fraction form
    50,442.86/69,617.81 = 32,589.80/x
  3. Step 3: Cross multiply
    50,442.86x = 69,617.81 × 32,589.80
  4. Step 4: Simplify right side
    50,442.86x = 2,268,829,993.30
  5. Step 5: Solve for x
    x = 2,268,829,993.30/50,442.86
  6. Step 6: Final answer
    x = 44,978.22

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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.