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Finding the Fourth Proportional to 43,786.31, 65,689.07 and 14,207.13

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Solution

The fourth proportional to 43,786.31, 65,689.07 and 14,207.13 is: 21,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786.31 : 65,689.07 = 14,207.13 : x
  2. Step 2: Convert to fraction form
    43,786.31/65,689.07 = 14,207.13/x
  3. Step 3: Cross multiply
    43,786.31x = 65,689.07 × 14,207.13
  4. Step 4: Simplify right side
    43,786.31x = 933,253,086.03
  5. Step 5: Solve for x
    x = 933,253,086.03/43,786.31
  6. Step 6: Final answer
    x = 21,313.81

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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.