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Finding the Fourth Proportional to 43,732.48, 65,599.20 and 12,568

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Solution

The fourth proportional to 43,732.48, 65,599.20 and 12,568 is: 18,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732.48 : 65,599.20 = 12,568 : x
  2. Step 2: Convert to fraction form
    43,732.48/65,599.20 = 12,568/x
  3. Step 3: Cross multiply
    43,732.48x = 65,599.20 × 12,568
  4. Step 4: Simplify right side
    43,732.48x = 824,450,745.60
  5. Step 5: Solve for x
    x = 824,450,745.60/43,732.48
  6. Step 6: Final answer
    x = 18,852.14

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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.