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Finding the Fourth Proportional to 41,138, 56,770 and 23,232.68

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Solution

The fourth proportional to 41,138, 56,770 and 23,232.68 is: 32,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138 : 56,770 = 23,232.68 : x
  2. Step 2: Convert to fraction form
    41,138/56,770 = 23,232.68/x
  3. Step 3: Cross multiply
    41,138x = 56,770 × 23,232.68
  4. Step 4: Simplify right side
    41,138x = 1,318,919,243.60
  5. Step 5: Solve for x
    x = 1,318,919,243.60/41,138
  6. Step 6: Final answer
    x = 32,060.85

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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.