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Finding the Fourth Proportional to 32,011.20, 48,016.80 and 23,716.80

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Solution

The fourth proportional to 32,011.20, 48,016.80 and 23,716.80 is: 35,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.20 : 48,016.80 = 23,716.80 : x
  2. Step 2: Convert to fraction form
    32,011.20/48,016.80 = 23,716.80/x
  3. Step 3: Cross multiply
    32,011.20x = 48,016.80 × 23,716.80
  4. Step 4: Simplify right side
    32,011.20x = 1,138,804,842.24
  5. Step 5: Solve for x
    x = 1,138,804,842.24/32,011.20
  6. Step 6: Final answer
    x = 35,575.20

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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.