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Finding the Fourth Proportional to 69,204.48, 103,848.72 and 27,648

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Solution

The fourth proportional to 69,204.48, 103,848.72 and 27,648 is: 41,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204.48 : 103,848.72 = 27,648 : x
  2. Step 2: Convert to fraction form
    69,204.48/103,848.72 = 27,648/x
  3. Step 3: Cross multiply
    69,204.48x = 103,848.72 × 27,648
  4. Step 4: Simplify right side
    69,204.48x = 2,871,209,410.56
  5. Step 5: Solve for x
    x = 2,871,209,410.56/69,204.48
  6. Step 6: Final answer
    x = 41,488.78

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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.