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Finding the Fourth Proportional to 73,100.74, 109,655.02 and 23,184.62

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Solution

The fourth proportional to 73,100.74, 109,655.02 and 23,184.62 is: 34,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,100.74 : 109,655.02 = 23,184.62 : x
  2. Step 2: Convert to fraction form
    73,100.74/109,655.02 = 23,184.62/x
  3. Step 3: Cross multiply
    73,100.74x = 109,655.02 × 23,184.62
  4. Step 4: Simplify right side
    73,100.74x = 2,542,309,969.79
  5. Step 5: Solve for x
    x = 2,542,309,969.79/73,100.74
  6. Step 6: Final answer
    x = 34,778.17

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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.