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Finding the Fourth Proportional to 33,592.46, 50,391.48 and 10,219.10

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Solution

The fourth proportional to 33,592.46, 50,391.48 and 10,219.10 is: 15,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,592.46 : 50,391.48 = 10,219.10 : x
  2. Step 2: Convert to fraction form
    33,592.46/50,391.48 = 10,219.10/x
  3. Step 3: Cross multiply
    33,592.46x = 50,391.48 × 10,219.10
  4. Step 4: Simplify right side
    33,592.46x = 514,955,573.27
  5. Step 5: Solve for x
    x = 514,955,573.27/33,592.46
  6. Step 6: Final answer
    x = 15,329.50

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Why These Related Problems?

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