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Finding the Fourth Proportional to 35,348.06, 53,022.09 and 10,724.06

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Solution

The fourth proportional to 35,348.06, 53,022.09 and 10,724.06 is: 16,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,348.06 : 53,022.09 = 10,724.06 : x
  2. Step 2: Convert to fraction form
    35,348.06/53,022.09 = 10,724.06/x
  3. Step 3: Cross multiply
    35,348.06x = 53,022.09 × 10,724.06
  4. Step 4: Simplify right side
    35,348.06x = 568,612,247.26
  5. Step 5: Solve for x
    x = 568,612,247.26/35,348.06
  6. Step 6: Final answer
    x = 16,086.09

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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.