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Finding the Fourth Proportional to 32,350.96, 48,514.30 and 11,285.60

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Solution

The fourth proportional to 32,350.96, 48,514.30 and 11,285.60 is: 16,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350.96 : 48,514.30 = 11,285.60 : x
  2. Step 2: Convert to fraction form
    32,350.96/48,514.30 = 11,285.60/x
  3. Step 3: Cross multiply
    32,350.96x = 48,514.30 × 11,285.60
  4. Step 4: Simplify right side
    32,350.96x = 547,512,984.08
  5. Step 5: Solve for x
    x = 547,512,984.08/32,350.96
  6. Step 6: Final answer
    x = 16,924.16

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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.