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Finding the Fourth Proportional to 38,771.28, 58,157.28 and 24,930

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Solution

The fourth proportional to 38,771.28, 58,157.28 and 24,930 is: 37,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,771.28 : 58,157.28 = 24,930 : x
  2. Step 2: Convert to fraction form
    38,771.28/58,157.28 = 24,930/x
  3. Step 3: Cross multiply
    38,771.28x = 58,157.28 × 24,930
  4. Step 4: Simplify right side
    38,771.28x = 1,449,860,990.40
  5. Step 5: Solve for x
    x = 1,449,860,990.40/38,771.28
  6. Step 6: Final answer
    x = 37,395.23

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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.