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Finding the Fourth Proportional to 33,491.28, 50,235.44 and 10,117

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Solution

The fourth proportional to 33,491.28, 50,235.44 and 10,117 is: 15,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,491.28 : 50,235.44 = 10,117 : x
  2. Step 2: Convert to fraction form
    33,491.28/50,235.44 = 10,117/x
  3. Step 3: Cross multiply
    33,491.28x = 50,235.44 × 10,117
  4. Step 4: Simplify right side
    33,491.28x = 508,231,946.48
  5. Step 5: Solve for x
    x = 508,231,946.48/33,491.28
  6. Step 6: Final answer
    x = 15,175.05

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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.