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Finding the Fourth Proportional to 41,189, 56,840.94 and 22,326.20

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Solution

The fourth proportional to 41,189, 56,840.94 and 22,326.20 is: 30,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,189 : 56,840.94 = 22,326.20 : x
  2. Step 2: Convert to fraction form
    41,189/56,840.94 = 22,326.20/x
  3. Step 3: Cross multiply
    41,189x = 56,840.94 × 22,326.20
  4. Step 4: Simplify right side
    41,189x = 1,269,042,194.63
  5. Step 5: Solve for x
    x = 1,269,042,194.63/41,189
  6. Step 6: Final answer
    x = 30,810.22

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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.