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Finding the Fourth Proportional to 34,616.14, 47,738.91 and 22,675.12

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Solution

The fourth proportional to 34,616.14, 47,738.91 and 22,675.12 is: 31,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.14 : 47,738.91 = 22,675.12 : x
  2. Step 2: Convert to fraction form
    34,616.14/47,738.91 = 22,675.12/x
  3. Step 3: Cross multiply
    34,616.14x = 47,738.91 × 22,675.12
  4. Step 4: Simplify right side
    34,616.14x = 1,082,485,512.92
  5. Step 5: Solve for x
    x = 1,082,485,512.92/34,616.14
  6. Step 6: Final answer
    x = 31,271.12

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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.