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Finding the Fourth Proportional to 32,333.66, 48,512.34 and 13,618.42

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Solution

The fourth proportional to 32,333.66, 48,512.34 and 13,618.42 is: 20,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.66 : 48,512.34 = 13,618.42 : x
  2. Step 2: Convert to fraction form
    32,333.66/48,512.34 = 13,618.42/x
  3. Step 3: Cross multiply
    32,333.66x = 48,512.34 × 13,618.42
  4. Step 4: Simplify right side
    32,333.66x = 660,661,421.30
  5. Step 5: Solve for x
    x = 660,661,421.30/32,333.66
  6. Step 6: Final answer
    x = 20,432.62

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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.