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Finding the Fourth Proportional to 38,176, 57,265.08 and 10,474

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Solution

The fourth proportional to 38,176, 57,265.08 and 10,474 is: 15,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 57,265.08 = 10,474 : x
  2. Step 2: Convert to fraction form
    38,176/57,265.08 = 10,474/x
  3. Step 3: Cross multiply
    38,176x = 57,265.08 × 10,474
  4. Step 4: Simplify right side
    38,176x = 599,794,447.92
  5. Step 5: Solve for x
    x = 599,794,447.92/38,176
  6. Step 6: Final answer
    x = 15,711.30

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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.