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Finding the Fourth Proportional to 43,644.39, 65,468 and 12,056.82

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Solution

The fourth proportional to 43,644.39, 65,468 and 12,056.82 is: 18,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,644.39 : 65,468 = 12,056.82 : x
  2. Step 2: Convert to fraction form
    43,644.39/65,468 = 12,056.82/x
  3. Step 3: Cross multiply
    43,644.39x = 65,468 × 12,056.82
  4. Step 4: Simplify right side
    43,644.39x = 789,335,891.76
  5. Step 5: Solve for x
    x = 789,335,891.76/43,644.39
  6. Step 6: Final answer
    x = 18,085.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.