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Finding the Fourth Proportional to 32,096.08, 48,152.34 and 12,369.34

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Solution

The fourth proportional to 32,096.08, 48,152.34 and 12,369.34 is: 18,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.08 : 48,152.34 = 12,369.34 : x
  2. Step 2: Convert to fraction form
    32,096.08/48,152.34 = 12,369.34/x
  3. Step 3: Cross multiply
    32,096.08x = 48,152.34 × 12,369.34
  4. Step 4: Simplify right side
    32,096.08x = 595,612,665.26
  5. Step 5: Solve for x
    x = 595,612,665.26/32,096.08
  6. Step 6: Final answer
    x = 18,557.18

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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.