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Finding the Fourth Proportional to 41,698.30, 57,543.74 and 22,578.28

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Solution

The fourth proportional to 41,698.30, 57,543.74 and 22,578.28 is: 31,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698.30 : 57,543.74 = 22,578.28 : x
  2. Step 2: Convert to fraction form
    41,698.30/57,543.74 = 22,578.28/x
  3. Step 3: Cross multiply
    41,698.30x = 57,543.74 × 22,578.28
  4. Step 4: Simplify right side
    41,698.30x = 1,299,238,673.97
  5. Step 5: Solve for x
    x = 1,299,238,673.97/41,698.30
  6. Step 6: Final answer
    x = 31,158.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.