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Finding the Fourth Proportional to 32,546.16, 48,822.42 and 15,021

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Solution

The fourth proportional to 32,546.16, 48,822.42 and 15,021 is: 22,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.16 : 48,822.42 = 15,021 : x
  2. Step 2: Convert to fraction form
    32,546.16/48,822.42 = 15,021/x
  3. Step 3: Cross multiply
    32,546.16x = 48,822.42 × 15,021
  4. Step 4: Simplify right side
    32,546.16x = 733,361,570.82
  5. Step 5: Solve for x
    x = 733,361,570.82/32,546.16
  6. Step 6: Final answer
    x = 22,532.97

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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.