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Finding the Fourth Proportional to 41,175, 56,821.77 and 22,312.26

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Solution

The fourth proportional to 41,175, 56,821.77 and 22,312.26 is: 30,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,175 : 56,821.77 = 22,312.26 : x
  2. Step 2: Convert to fraction form
    41,175/56,821.77 = 22,312.26/x
  3. Step 3: Cross multiply
    41,175x = 56,821.77 × 22,312.26
  4. Step 4: Simplify right side
    41,175x = 1,267,822,105.90
  5. Step 5: Solve for x
    x = 1,267,822,105.90/41,175
  6. Step 6: Final answer
    x = 30,791.07

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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.