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Finding the Fourth Proportional to 101,974.10, 152,967.90 and 27,093.20

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Solution

The fourth proportional to 101,974.10, 152,967.90 and 27,093.20 is: 40,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.10 : 152,967.90 = 27,093.20 : x
  2. Step 2: Convert to fraction form
    101,974.10/152,967.90 = 27,093.20/x
  3. Step 3: Cross multiply
    101,974.10x = 152,967.90 × 27,093.20
  4. Step 4: Simplify right side
    101,974.10x = 4,144,389,908.28
  5. Step 5: Solve for x
    x = 4,144,389,908.28/101,974.10
  6. Step 6: Final answer
    x = 40,641.59

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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.