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Finding the Fourth Proportional to 41,769, 57,641.22 and 22,906.13

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Solution

The fourth proportional to 41,769, 57,641.22 and 22,906.13 is: 31,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769 : 57,641.22 = 22,906.13 : x
  2. Step 2: Convert to fraction form
    41,769/57,641.22 = 22,906.13/x
  3. Step 3: Cross multiply
    41,769x = 57,641.22 × 22,906.13
  4. Step 4: Simplify right side
    41,769x = 1,320,336,990.47
  5. Step 5: Solve for x
    x = 1,320,336,990.47/41,769
  6. Step 6: Final answer
    x = 31,610.45

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1.5x scale

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.