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Finding the Fourth Proportional to 32,016.87, 48,025.71 and 8,643.78

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Solution

The fourth proportional to 32,016.87, 48,025.71 and 8,643.78 is: 12,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.87 : 48,025.71 = 8,643.78 : x
  2. Step 2: Convert to fraction form
    32,016.87/48,025.71 = 8,643.78/x
  3. Step 3: Cross multiply
    32,016.87x = 48,025.71 × 8,643.78
  4. Step 4: Simplify right side
    32,016.87x = 415,123,671.58
  5. Step 5: Solve for x
    x = 415,123,671.58/32,016.87
  6. Step 6: Final answer
    x = 12,965.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.