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Finding the Fourth Proportional to 20,354.70, 30,689.02 and 20,228.34

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Solution

The fourth proportional to 20,354.70, 30,689.02 and 20,228.34 is: 30,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.70 : 30,689.02 = 20,228.34 : x
  2. Step 2: Convert to fraction form
    20,354.70/30,689.02 = 20,228.34/x
  3. Step 3: Cross multiply
    20,354.70x = 30,689.02 × 20,228.34
  4. Step 4: Simplify right side
    20,354.70x = 620,787,930.83
  5. Step 5: Solve for x
    x = 620,787,930.83/20,354.70
  6. Step 6: Final answer
    x = 30,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.