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Finding the Fourth Proportional to 33,265.14, 45,913.41 and 22,659

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Solution

The fourth proportional to 33,265.14, 45,913.41 and 22,659 is: 31,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265.14 : 45,913.41 = 22,659 : x
  2. Step 2: Convert to fraction form
    33,265.14/45,913.41 = 22,659/x
  3. Step 3: Cross multiply
    33,265.14x = 45,913.41 × 22,659
  4. Step 4: Simplify right side
    33,265.14x = 1,040,351,957.19
  5. Step 5: Solve for x
    x = 1,040,351,957.19/33,265.14
  6. Step 6: Final answer
    x = 31,274.54

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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.