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Finding the Fourth Proportional to 41,396, 57,126.48 and 22,533.26

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Solution

The fourth proportional to 41,396, 57,126.48 and 22,533.26 is: 31,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,396 : 57,126.48 = 22,533.26 : x
  2. Step 2: Convert to fraction form
    41,396/57,126.48 = 22,533.26/x
  3. Step 3: Cross multiply
    41,396x = 57,126.48 × 22,533.26
  4. Step 4: Simplify right side
    41,396x = 1,287,245,826.72
  5. Step 5: Solve for x
    x = 1,287,245,826.72/41,396
  6. Step 6: Final answer
    x = 31,095.90

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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.