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Finding the Fourth Proportional to 34,600.28, 47,698.62 and 24,647

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Solution

The fourth proportional to 34,600.28, 47,698.62 and 24,647 is: 33,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600.28 : 47,698.62 = 24,647 : x
  2. Step 2: Convert to fraction form
    34,600.28/47,698.62 = 24,647/x
  3. Step 3: Cross multiply
    34,600.28x = 47,698.62 × 24,647
  4. Step 4: Simplify right side
    34,600.28x = 1,175,627,887.14
  5. Step 5: Solve for x
    x = 1,175,627,887.14/34,600.28
  6. Step 6: Final answer
    x = 33,977.41

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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.