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Finding the Fourth Proportional to 35,855.33, 53,782.97 and 10,895.31

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Solution

The fourth proportional to 35,855.33, 53,782.97 and 10,895.31 is: 16,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,855.33 : 53,782.97 = 10,895.31 : x
  2. Step 2: Convert to fraction form
    35,855.33/53,782.97 = 10,895.31/x
  3. Step 3: Cross multiply
    35,855.33x = 53,782.97 × 10,895.31
  4. Step 4: Simplify right side
    35,855.33x = 585,982,076.39
  5. Step 5: Solve for x
    x = 585,982,076.39/35,855.33
  6. Step 6: Final answer
    x = 16,342.96

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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.