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Finding the Fourth Proportional to 32,015.20, 48,022.92 and 14,464.48

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Solution

The fourth proportional to 32,015.20, 48,022.92 and 14,464.48 is: 21,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.20 : 48,022.92 = 14,464.48 : x
  2. Step 2: Convert to fraction form
    32,015.20/48,022.92 = 14,464.48/x
  3. Step 3: Cross multiply
    32,015.20x = 48,022.92 × 14,464.48
  4. Step 4: Simplify right side
    32,015.20x = 694,626,565.88
  5. Step 5: Solve for x
    x = 694,626,565.88/32,015.20
  6. Step 6: Final answer
    x = 21,696.77

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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.