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Finding the Fourth Proportional to 73,103.70, 109,658.79 and 20,512.02

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Solution

The fourth proportional to 73,103.70, 109,658.79 and 20,512.02 is: 30,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,103.70 : 109,658.79 = 20,512.02 : x
  2. Step 2: Convert to fraction form
    73,103.70/109,658.79 = 20,512.02/x
  3. Step 3: Cross multiply
    73,103.70x = 109,658.79 × 20,512.02
  4. Step 4: Simplify right side
    73,103.70x = 2,249,323,293.66
  5. Step 5: Solve for x
    x = 2,249,323,293.66/73,103.70
  6. Step 6: Final answer
    x = 30,768.94

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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.