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Finding the Fourth Proportional to 41,065, 56,669.70 and 22,202.13

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Solution

The fourth proportional to 41,065, 56,669.70 and 22,202.13 is: 30,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,065 : 56,669.70 = 22,202.13 : x
  2. Step 2: Convert to fraction form
    41,065/56,669.70 = 22,202.13/x
  3. Step 3: Cross multiply
    41,065x = 56,669.70 × 22,202.13
  4. Step 4: Simplify right side
    41,065x = 1,258,188,046.46
  5. Step 5: Solve for x
    x = 1,258,188,046.46/41,065
  6. Step 6: Final answer
    x = 30,638.94

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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.