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Finding the Fourth Proportional to 32,234.81, 48,305.48 and 22,893.12

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Solution

The fourth proportional to 32,234.81, 48,305.48 and 22,893.12 is: 34,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.81 : 48,305.48 = 22,893.12 : x
  2. Step 2: Convert to fraction form
    32,234.81/48,305.48 = 22,893.12/x
  3. Step 3: Cross multiply
    32,234.81x = 48,305.48 × 22,893.12
  4. Step 4: Simplify right side
    32,234.81x = 1,105,863,035.83
  5. Step 5: Solve for x
    x = 1,105,863,035.83/32,234.81
  6. Step 6: Final answer
    x = 34,306.49

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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.