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Finding the Fourth Proportional to 40,164.92, 60,284.78 and 20,458.30

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Solution

The fourth proportional to 40,164.92, 60,284.78 and 20,458.30 is: 30,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,164.92 : 60,284.78 = 20,458.30 : x
  2. Step 2: Convert to fraction form
    40,164.92/60,284.78 = 20,458.30/x
  3. Step 3: Cross multiply
    40,164.92x = 60,284.78 × 20,458.30
  4. Step 4: Simplify right side
    40,164.92x = 1,233,324,114.67
  5. Step 5: Solve for x
    x = 1,233,324,114.67/40,164.92
  6. Step 6: Final answer
    x = 30,706.50

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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.