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Finding the Fourth Proportional to 35,499.43, 53,244.99 and 9,202.09

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Solution

The fourth proportional to 35,499.43, 53,244.99 and 9,202.09 is: 13,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,499.43 : 53,244.99 = 9,202.09 : x
  2. Step 2: Convert to fraction form
    35,499.43/53,244.99 = 9,202.09/x
  3. Step 3: Cross multiply
    35,499.43x = 53,244.99 × 9,202.09
  4. Step 4: Simplify right side
    35,499.43x = 489,965,190.03
  5. Step 5: Solve for x
    x = 489,965,190.03/35,499.43
  6. Step 6: Final answer
    x = 13,802.06

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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.