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Finding the Fourth Proportional to 33,948.56, 50,923.22 and 10,256.30

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Solution

The fourth proportional to 33,948.56, 50,923.22 and 10,256.30 is: 15,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948.56 : 50,923.22 = 10,256.30 : x
  2. Step 2: Convert to fraction form
    33,948.56/50,923.22 = 10,256.30/x
  3. Step 3: Cross multiply
    33,948.56x = 50,923.22 × 10,256.30
  4. Step 4: Simplify right side
    33,948.56x = 522,283,515.39
  5. Step 5: Solve for x
    x = 522,283,515.39/33,948.56
  6. Step 6: Final answer
    x = 15,384.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.