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Finding the Fourth Proportional to 57,710.41, 79,644.38 and 32,221.79

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Solution

The fourth proportional to 57,710.41, 79,644.38 and 32,221.79 is: 44,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.41 : 79,644.38 = 32,221.79 : x
  2. Step 2: Convert to fraction form
    57,710.41/79,644.38 = 32,221.79/x
  3. Step 3: Cross multiply
    57,710.41x = 79,644.38 × 32,221.79
  4. Step 4: Simplify right side
    57,710.41x = 2,566,284,487.04
  5. Step 5: Solve for x
    x = 2,566,284,487.04/57,710.41
  6. Step 6: Final answer
    x = 44,468.31

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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.