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Finding the Fourth Proportional to 32,277.60, 48,422.55 and 11,216.82

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Solution

The fourth proportional to 32,277.60, 48,422.55 and 11,216.82 is: 16,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,277.60 : 48,422.55 = 11,216.82 : x
  2. Step 2: Convert to fraction form
    32,277.60/48,422.55 = 11,216.82/x
  3. Step 3: Cross multiply
    32,277.60x = 48,422.55 × 11,216.82
  4. Step 4: Simplify right side
    32,277.60x = 543,147,027.29
  5. Step 5: Solve for x
    x = 543,147,027.29/32,277.60
  6. Step 6: Final answer
    x = 16,827.37

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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.