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Finding the Fourth Proportional to 50,032.32, 69,023.88 and 32,137.80

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Solution

The fourth proportional to 50,032.32, 69,023.88 and 32,137.80 is: 44,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,032.32 : 69,023.88 = 32,137.80 : x
  2. Step 2: Convert to fraction form
    50,032.32/69,023.88 = 32,137.80/x
  3. Step 3: Cross multiply
    50,032.32x = 69,023.88 × 32,137.80
  4. Step 4: Simplify right side
    50,032.32x = 2,218,275,650.66
  5. Step 5: Solve for x
    x = 2,218,275,650.66/50,032.32
  6. Step 6: Final answer
    x = 44,336.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.