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Finding the Fourth Proportional to 35,296.97, 52,634.09 and 30,398.09

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Solution

The fourth proportional to 35,296.97, 52,634.09 and 30,398.09 is: 45,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.97 : 52,634.09 = 30,398.09 : x
  2. Step 2: Convert to fraction form
    35,296.97/52,634.09 = 30,398.09/x
  3. Step 3: Cross multiply
    35,296.97x = 52,634.09 × 30,398.09
  4. Step 4: Simplify right side
    35,296.97x = 1,599,976,012.47
  5. Step 5: Solve for x
    x = 1,599,976,012.47/35,296.97
  6. Step 6: Final answer
    x = 45,328.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.