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Finding the Fourth Proportional to 38,923, 58,404.30 and 17,863

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Solution

The fourth proportional to 38,923, 58,404.30 and 17,863 is: 26,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,923 : 58,404.30 = 17,863 : x
  2. Step 2: Convert to fraction form
    38,923/58,404.30 = 17,863/x
  3. Step 3: Cross multiply
    38,923x = 58,404.30 × 17,863
  4. Step 4: Simplify right side
    38,923x = 1,043,276,010.90
  5. Step 5: Solve for x
    x = 1,043,276,010.90/38,923
  6. Step 6: Final answer
    x = 26,803.59

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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.