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Finding the Fourth Proportional to 57,714.56, 79,647.20 and 32,564.64

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Solution

The fourth proportional to 57,714.56, 79,647.20 and 32,564.64 is: 44,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.56 : 79,647.20 = 32,564.64 : x
  2. Step 2: Convert to fraction form
    57,714.56/79,647.20 = 32,564.64/x
  3. Step 3: Cross multiply
    57,714.56x = 79,647.20 × 32,564.64
  4. Step 4: Simplify right side
    57,714.56x = 2,593,682,395.01
  5. Step 5: Solve for x
    x = 2,593,682,395.01/57,714.56
  6. Step 6: Final answer
    x = 44,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.