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Finding the Fourth Proportional to 101,805, 152,710.38 and 27,933

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Solution

The fourth proportional to 101,805, 152,710.38 and 27,933 is: 41,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805 : 152,710.38 = 27,933 : x
  2. Step 2: Convert to fraction form
    101,805/152,710.38 = 27,933/x
  3. Step 3: Cross multiply
    101,805x = 152,710.38 × 27,933
  4. Step 4: Simplify right side
    101,805x = 4,265,659,044.54
  5. Step 5: Solve for x
    x = 4,265,659,044.54/101,805
  6. Step 6: Final answer
    x = 41,900.29

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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.