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Finding the Fourth Proportional to 35,997.62, 53,992.78 and 9,705.02

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Solution

The fourth proportional to 35,997.62, 53,992.78 and 9,705.02 is: 14,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.62 : 53,992.78 = 9,705.02 : x
  2. Step 2: Convert to fraction form
    35,997.62/53,992.78 = 9,705.02/x
  3. Step 3: Cross multiply
    35,997.62x = 53,992.78 × 9,705.02
  4. Step 4: Simplify right side
    35,997.62x = 524,001,073.83
  5. Step 5: Solve for x
    x = 524,001,073.83/35,997.62
  6. Step 6: Final answer
    x = 14,556.55

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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.