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Finding the Fourth Proportional to 38,500.64, 53,131.75 and 22,596.56

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Solution

The fourth proportional to 38,500.64, 53,131.75 and 22,596.56 is: 31,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,500.64 : 53,131.75 = 22,596.56 : x
  2. Step 2: Convert to fraction form
    38,500.64/53,131.75 = 22,596.56/x
  3. Step 3: Cross multiply
    38,500.64x = 53,131.75 × 22,596.56
  4. Step 4: Simplify right side
    38,500.64x = 1,200,594,511.12
  5. Step 5: Solve for x
    x = 1,200,594,511.12/38,500.64
  6. Step 6: Final answer
    x = 31,183.76

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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.