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Finding the Fourth Proportional to 73,146.18, 109,723.05 and 23,230.20

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Solution

The fourth proportional to 73,146.18, 109,723.05 and 23,230.20 is: 34,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,146.18 : 109,723.05 = 23,230.20 : x
  2. Step 2: Convert to fraction form
    73,146.18/109,723.05 = 23,230.20/x
  3. Step 3: Cross multiply
    73,146.18x = 109,723.05 × 23,230.20
  4. Step 4: Simplify right side
    73,146.18x = 2,548,888,396.11
  5. Step 5: Solve for x
    x = 2,548,888,396.11/73,146.18
  6. Step 6: Final answer
    x = 34,846.50

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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.