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Finding the Fourth Proportional to 32,014.01, 48,021 and 8,640.44

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Solution

The fourth proportional to 32,014.01, 48,021 and 8,640.44 is: 12,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.01 : 48,021 = 8,640.44 : x
  2. Step 2: Convert to fraction form
    32,014.01/48,021 = 8,640.44/x
  3. Step 3: Cross multiply
    32,014.01x = 48,021 × 8,640.44
  4. Step 4: Simplify right side
    32,014.01x = 414,922,569.24
  5. Step 5: Solve for x
    x = 414,922,569.24/32,014.01
  6. Step 6: Final answer
    x = 12,960.66

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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.