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Finding the Fourth Proportional to 35,721, 53,581.50 and 9,425.97

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Solution

The fourth proportional to 35,721, 53,581.50 and 9,425.97 is: 14,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721 : 53,581.50 = 9,425.97 : x
  2. Step 2: Convert to fraction form
    35,721/53,581.50 = 9,425.97/x
  3. Step 3: Cross multiply
    35,721x = 53,581.50 × 9,425.97
  4. Step 4: Simplify right side
    35,721x = 505,057,611.56
  5. Step 5: Solve for x
    x = 505,057,611.56/35,721
  6. Step 6: Final answer
    x = 14,138.96

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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.