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Finding the Fourth Proportional to 32,098.60, 48,149.25 and 9,911.44

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Solution

The fourth proportional to 32,098.60, 48,149.25 and 9,911.44 is: 14,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.60 : 48,149.25 = 9,911.44 : x
  2. Step 2: Convert to fraction form
    32,098.60/48,149.25 = 9,911.44/x
  3. Step 3: Cross multiply
    32,098.60x = 48,149.25 × 9,911.44
  4. Step 4: Simplify right side
    32,098.60x = 477,228,402.42
  5. Step 5: Solve for x
    x = 477,228,402.42/32,098.60
  6. Step 6: Final answer
    x = 14,867.58

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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.