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Finding the Fourth Proportional to 32,093.89, 48,164.46 and 15,226.93

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Solution

The fourth proportional to 32,093.89, 48,164.46 and 15,226.93 is: 22,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.89 : 48,164.46 = 15,226.93 : x
  2. Step 2: Convert to fraction form
    32,093.89/48,164.46 = 15,226.93/x
  3. Step 3: Cross multiply
    32,093.89x = 48,164.46 × 15,226.93
  4. Step 4: Simplify right side
    32,093.89x = 733,396,740.50
  5. Step 5: Solve for x
    x = 733,396,740.50/32,093.89
  6. Step 6: Final answer
    x = 22,851.60

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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.