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Finding the Fourth Proportional to 41,874.40, 57,786.40 and 22,754.08

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Solution

The fourth proportional to 41,874.40, 57,786.40 and 22,754.08 is: 31,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,874.40 : 57,786.40 = 22,754.08 : x
  2. Step 2: Convert to fraction form
    41,874.40/57,786.40 = 22,754.08/x
  3. Step 3: Cross multiply
    41,874.40x = 57,786.40 × 22,754.08
  4. Step 4: Simplify right side
    41,874.40x = 1,314,876,368.51
  5. Step 5: Solve for x
    x = 1,314,876,368.51/41,874.40
  6. Step 6: Final answer
    x = 31,400.48

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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.