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Finding the Fourth Proportional to 41,765, 57,635.71 and 22,902.53

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Solution

The fourth proportional to 41,765, 57,635.71 and 22,902.53 is: 31,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,765 : 57,635.71 = 22,902.53 : x
  2. Step 2: Convert to fraction form
    41,765/57,635.71 = 22,902.53/x
  3. Step 3: Cross multiply
    41,765x = 57,635.71 × 22,902.53
  4. Step 4: Simplify right side
    41,765x = 1,320,003,577.35
  5. Step 5: Solve for x
    x = 1,320,003,577.35/41,765
  6. Step 6: Final answer
    x = 31,605.50

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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.