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Finding the Fourth Proportional to 72,106.34, 108,227.34 and 36,593.15

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Solution

The fourth proportional to 72,106.34, 108,227.34 and 36,593.15 is: 54,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,106.34 : 108,227.34 = 36,593.15 : x
  2. Step 2: Convert to fraction form
    72,106.34/108,227.34 = 36,593.15/x
  3. Step 3: Cross multiply
    72,106.34x = 108,227.34 × 36,593.15
  4. Step 4: Simplify right side
    72,106.34x = 3,960,378,745.58
  5. Step 5: Solve for x
    x = 3,960,378,745.58/72,106.34
  6. Step 6: Final answer
    x = 54,924.14

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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.