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Finding the Fourth Proportional to 32,515.60, 48,773.28 and 7,891.60

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Solution

The fourth proportional to 32,515.60, 48,773.28 and 7,891.60 is: 11,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515.60 : 48,773.28 = 7,891.60 : x
  2. Step 2: Convert to fraction form
    32,515.60/48,773.28 = 7,891.60/x
  3. Step 3: Cross multiply
    32,515.60x = 48,773.28 × 7,891.60
  4. Step 4: Simplify right side
    32,515.60x = 384,899,216.45
  5. Step 5: Solve for x
    x = 384,899,216.45/32,515.60
  6. Step 6: Final answer
    x = 11,837.37

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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.