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Finding the Fourth Proportional to 73,882.56, 110,809.92 and 19,848

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Solution

The fourth proportional to 73,882.56, 110,809.92 and 19,848 is: 29,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.56 : 110,809.92 = 19,848 : x
  2. Step 2: Convert to fraction form
    73,882.56/110,809.92 = 19,848/x
  3. Step 3: Cross multiply
    73,882.56x = 110,809.92 × 19,848
  4. Step 4: Simplify right side
    73,882.56x = 2,199,355,292.16
  5. Step 5: Solve for x
    x = 2,199,355,292.16/73,882.56
  6. Step 6: Final answer
    x = 29,768.26

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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.