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Finding the Fourth Proportional to 35,447.43, 53,168.22 and 11,747.24

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Solution

The fourth proportional to 35,447.43, 53,168.22 and 11,747.24 is: 17,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.43 : 53,168.22 = 11,747.24 : x
  2. Step 2: Convert to fraction form
    35,447.43/53,168.22 = 11,747.24/x
  3. Step 3: Cross multiply
    35,447.43x = 53,168.22 × 11,747.24
  4. Step 4: Simplify right side
    35,447.43x = 624,579,574.87
  5. Step 5: Solve for x
    x = 624,579,574.87/35,447.43
  6. Step 6: Final answer
    x = 17,619.88

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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.