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Finding the Fourth Proportional to 38,198, 57,300.24 and 10,496

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Solution

The fourth proportional to 38,198, 57,300.24 and 10,496 is: 15,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198 : 57,300.24 = 10,496 : x
  2. Step 2: Convert to fraction form
    38,198/57,300.24 = 10,496/x
  3. Step 3: Cross multiply
    38,198x = 57,300.24 × 10,496
  4. Step 4: Simplify right side
    38,198x = 601,423,319.04
  5. Step 5: Solve for x
    x = 601,423,319.04/38,198
  6. Step 6: Final answer
    x = 15,744.89

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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.