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Finding the Fourth Proportional to 41,071, 56,678 and 22,208.12

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Solution

The fourth proportional to 41,071, 56,678 and 22,208.12 is: 30,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,071 : 56,678 = 22,208.12 : x
  2. Step 2: Convert to fraction form
    41,071/56,678 = 22,208.12/x
  3. Step 3: Cross multiply
    41,071x = 56,678 × 22,208.12
  4. Step 4: Simplify right side
    41,071x = 1,258,711,825.36
  5. Step 5: Solve for x
    x = 1,258,711,825.36/41,071
  6. Step 6: Final answer
    x = 30,647.22

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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.