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Finding the Fourth Proportional to 20,146.30, 30,219.45 and 20,146.30

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Solution

The fourth proportional to 20,146.30, 30,219.45 and 20,146.30 is: 30,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.30 : 30,219.45 = 20,146.30 : x
  2. Step 2: Convert to fraction form
    20,146.30/30,219.45 = 20,146.30/x
  3. Step 3: Cross multiply
    20,146.30x = 30,219.45 × 20,146.30
  4. Step 4: Simplify right side
    20,146.30x = 608,810,105.54
  5. Step 5: Solve for x
    x = 608,810,105.54/20,146.30
  6. Step 6: Final answer
    x = 30,219.45

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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.