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Finding the Fourth Proportional to 41,230, 56,896.86 and 22,367.80

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Solution

The fourth proportional to 41,230, 56,896.86 and 22,367.80 is: 30,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,230 : 56,896.86 = 22,367.80 : x
  2. Step 2: Convert to fraction form
    41,230/56,896.86 = 22,367.80/x
  3. Step 3: Cross multiply
    41,230x = 56,896.86 × 22,367.80
  4. Step 4: Simplify right side
    41,230x = 1,272,657,585.11
  5. Step 5: Solve for x
    x = 1,272,657,585.11/41,230
  6. Step 6: Final answer
    x = 30,867.27

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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.