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Finding the Fourth Proportional to 20,151.70, 30,227.40 and 6,111.70

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Solution

The fourth proportional to 20,151.70, 30,227.40 and 6,111.70 is: 9,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.70 : 30,227.40 = 6,111.70 : x
  2. Step 2: Convert to fraction form
    20,151.70/30,227.40 = 6,111.70/x
  3. Step 3: Cross multiply
    20,151.70x = 30,227.40 × 6,111.70
  4. Step 4: Simplify right side
    20,151.70x = 184,740,800.58
  5. Step 5: Solve for x
    x = 184,740,800.58/20,151.70
  6. Step 6: Final answer
    x = 9,167.50

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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.