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Finding the Fourth Proportional to 73,093.60, 109,648.18 and 23,180.80

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Solution

The fourth proportional to 73,093.60, 109,648.18 and 23,180.80 is: 34,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,093.60 : 109,648.18 = 23,180.80 : x
  2. Step 2: Convert to fraction form
    73,093.60/109,648.18 = 23,180.80/x
  3. Step 3: Cross multiply
    73,093.60x = 109,648.18 × 23,180.80
  4. Step 4: Simplify right side
    73,093.60x = 2,541,732,530.94
  5. Step 5: Solve for x
    x = 2,541,732,530.94/73,093.60
  6. Step 6: Final answer
    x = 34,773.67

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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.