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Finding the Fourth Proportional to 50,098.32, 69,182.52 and 32,224.35

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Solution

The fourth proportional to 50,098.32, 69,182.52 and 32,224.35 is: 44,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.32 : 69,182.52 = 32,224.35 : x
  2. Step 2: Convert to fraction form
    50,098.32/69,182.52 = 32,224.35/x
  3. Step 3: Cross multiply
    50,098.32x = 69,182.52 × 32,224.35
  4. Step 4: Simplify right side
    50,098.32x = 2,229,361,577.24
  5. Step 5: Solve for x
    x = 2,229,361,577.24/50,098.32
  6. Step 6: Final answer
    x = 44,499.73

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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.