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Finding the Fourth Proportional to 73,184.62, 109,745.84 and 23,251.36

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Solution

The fourth proportional to 73,184.62, 109,745.84 and 23,251.36 is: 34,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184.62 : 109,745.84 = 23,251.36 : x
  2. Step 2: Convert to fraction form
    73,184.62/109,745.84 = 23,251.36/x
  3. Step 3: Cross multiply
    73,184.62x = 109,745.84 × 23,251.36
  4. Step 4: Simplify right side
    73,184.62x = 2,551,740,034.34
  5. Step 5: Solve for x
    x = 2,551,740,034.34/73,184.62
  6. Step 6: Final answer
    x = 34,867.16

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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.