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Finding the Fourth Proportional to 32,204.46, 48,297.93 and 8,825.34

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Solution

The fourth proportional to 32,204.46, 48,297.93 and 8,825.34 is: 13,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.46 : 48,297.93 = 8,825.34 : x
  2. Step 2: Convert to fraction form
    32,204.46/48,297.93 = 8,825.34/x
  3. Step 3: Cross multiply
    32,204.46x = 48,297.93 × 8,825.34
  4. Step 4: Simplify right side
    32,204.46x = 426,245,653.55
  5. Step 5: Solve for x
    x = 426,245,653.55/32,204.46
  6. Step 6: Final answer
    x = 13,235.61

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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.