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Finding the Fourth Proportional to 41,228, 56,894.67 and 22,365.20

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Solution

The fourth proportional to 41,228, 56,894.67 and 22,365.20 is: 30,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,228 : 56,894.67 = 22,365.20 : x
  2. Step 2: Convert to fraction form
    41,228/56,894.67 = 22,365.20/x
  3. Step 3: Cross multiply
    41,228x = 56,894.67 × 22,365.20
  4. Step 4: Simplify right side
    41,228x = 1,272,460,673.48
  5. Step 5: Solve for x
    x = 1,272,460,673.48/41,228
  6. Step 6: Final answer
    x = 30,863.99

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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.