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Finding the Fourth Proportional to 43,286.06, 64,923.42 and 13,704.06

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Solution

The fourth proportional to 43,286.06, 64,923.42 and 13,704.06 is: 20,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,286.06 : 64,923.42 = 13,704.06 : x
  2. Step 2: Convert to fraction form
    43,286.06/64,923.42 = 13,704.06/x
  3. Step 3: Cross multiply
    43,286.06x = 64,923.42 × 13,704.06
  4. Step 4: Simplify right side
    43,286.06x = 889,714,443.09
  5. Step 5: Solve for x
    x = 889,714,443.09/43,286.06
  6. Step 6: Final answer
    x = 20,554.29

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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.