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Finding the Fourth Proportional to 32,245.60, 48,339.24 and 11,464.24

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Solution

The fourth proportional to 32,245.60, 48,339.24 and 11,464.24 is: 17,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245.60 : 48,339.24 = 11,464.24 : x
  2. Step 2: Convert to fraction form
    32,245.60/48,339.24 = 11,464.24/x
  3. Step 3: Cross multiply
    32,245.60x = 48,339.24 × 11,464.24
  4. Step 4: Simplify right side
    32,245.60x = 554,172,648.78
  5. Step 5: Solve for x
    x = 554,172,648.78/32,245.60
  6. Step 6: Final answer
    x = 17,185.99

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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.