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Finding the Fourth Proportional to 41,597.42, 57,404.40 and 22,734.50

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Solution

The fourth proportional to 41,597.42, 57,404.40 and 22,734.50 is: 31,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,597.42 : 57,404.40 = 22,734.50 : x
  2. Step 2: Convert to fraction form
    41,597.42/57,404.40 = 22,734.50/x
  3. Step 3: Cross multiply
    41,597.42x = 57,404.40 × 22,734.50
  4. Step 4: Simplify right side
    41,597.42x = 1,305,060,331.80
  5. Step 5: Solve for x
    x = 1,305,060,331.80/41,597.42
  6. Step 6: Final answer
    x = 31,373.59

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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.