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Finding the Fourth Proportional to 38,135.28, 57,202.11 and 10,433.28

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Solution

The fourth proportional to 38,135.28, 57,202.11 and 10,433.28 is: 15,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.28 : 57,202.11 = 10,433.28 : x
  2. Step 2: Convert to fraction form
    38,135.28/57,202.11 = 10,433.28/x
  3. Step 3: Cross multiply
    38,135.28x = 57,202.11 × 10,433.28
  4. Step 4: Simplify right side
    38,135.28x = 596,805,630.22
  5. Step 5: Solve for x
    x = 596,805,630.22/38,135.28
  6. Step 6: Final answer
    x = 15,649.70

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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.