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Finding the Fourth Proportional to 73,096.70, 109,648.93 and 23,180.73

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Solution

The fourth proportional to 73,096.70, 109,648.93 and 23,180.73 is: 34,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,096.70 : 109,648.93 = 23,180.73 : x
  2. Step 2: Convert to fraction form
    73,096.70/109,648.93 = 23,180.73/x
  3. Step 3: Cross multiply
    73,096.70x = 109,648.93 × 23,180.73
  4. Step 4: Simplify right side
    73,096.70x = 2,541,742,241.12
  5. Step 5: Solve for x
    x = 2,541,742,241.12/73,096.70
  6. Step 6: Final answer
    x = 34,772.33

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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.