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Finding the Fourth Proportional to 41,151, 56,788.38 and 22,288.26

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Solution

The fourth proportional to 41,151, 56,788.38 and 22,288.26 is: 30,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,151 : 56,788.38 = 22,288.26 : x
  2. Step 2: Convert to fraction form
    41,151/56,788.38 = 22,288.26/x
  3. Step 3: Cross multiply
    41,151x = 56,788.38 × 22,288.26
  4. Step 4: Simplify right side
    41,151x = 1,265,714,178.42
  5. Step 5: Solve for x
    x = 1,265,714,178.42/41,151
  6. Step 6: Final answer
    x = 30,757.80

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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.