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Finding the Fourth Proportional to 38,529.78, 57,797.19 and 11,872.50

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Solution

The fourth proportional to 38,529.78, 57,797.19 and 11,872.50 is: 17,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,529.78 : 57,797.19 = 11,872.50 : x
  2. Step 2: Convert to fraction form
    38,529.78/57,797.19 = 11,872.50/x
  3. Step 3: Cross multiply
    38,529.78x = 57,797.19 × 11,872.50
  4. Step 4: Simplify right side
    38,529.78x = 686,197,138.28
  5. Step 5: Solve for x
    x = 686,197,138.28/38,529.78
  6. Step 6: Final answer
    x = 17,809.53

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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.