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Finding the Fourth Proportional to 32,012.08, 48,018.12 and 8,640.34

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Solution

The fourth proportional to 32,012.08, 48,018.12 and 8,640.34 is: 12,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.08 : 48,018.12 = 8,640.34 : x
  2. Step 2: Convert to fraction form
    32,012.08/48,018.12 = 8,640.34/x
  3. Step 3: Cross multiply
    32,012.08x = 48,018.12 × 8,640.34
  4. Step 4: Simplify right side
    32,012.08x = 414,892,882.96
  5. Step 5: Solve for x
    x = 414,892,882.96/32,012.08
  6. Step 6: Final answer
    x = 12,960.51

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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.