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Finding the Fourth Proportional to 29,914.45, 44,863.03 and 10,192.57

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Solution

The fourth proportional to 29,914.45, 44,863.03 and 10,192.57 is: 15,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914.45 : 44,863.03 = 10,192.57 : x
  2. Step 2: Convert to fraction form
    29,914.45/44,863.03 = 10,192.57/x
  3. Step 3: Cross multiply
    29,914.45x = 44,863.03 × 10,192.57
  4. Step 4: Simplify right side
    29,914.45x = 457,269,573.69
  5. Step 5: Solve for x
    x = 457,269,573.69/29,914.45
  6. Step 6: Final answer
    x = 15,285.91

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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.