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Finding the Fourth Proportional to 32,096.14, 48,146.64 and 8,722.24

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Solution

The fourth proportional to 32,096.14, 48,146.64 and 8,722.24 is: 13,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.14 : 48,146.64 = 8,722.24 : x
  2. Step 2: Convert to fraction form
    32,096.14/48,146.64 = 8,722.24/x
  3. Step 3: Cross multiply
    32,096.14x = 48,146.64 × 8,722.24
  4. Step 4: Simplify right side
    32,096.14x = 419,946,549.27
  5. Step 5: Solve for x
    x = 419,946,549.27/32,096.14
  6. Step 6: Final answer
    x = 13,084.02

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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.