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Finding the Fourth Proportional to 20,152.50, 30,228.68 and 5,361.42

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Solution

The fourth proportional to 20,152.50, 30,228.68 and 5,361.42 is: 8,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.50 : 30,228.68 = 5,361.42 : x
  2. Step 2: Convert to fraction form
    20,152.50/30,228.68 = 5,361.42/x
  3. Step 3: Cross multiply
    20,152.50x = 30,228.68 × 5,361.42
  4. Step 4: Simplify right side
    20,152.50x = 162,068,649.53
  5. Step 5: Solve for x
    x = 162,068,649.53/20,152.50
  6. Step 6: Final answer
    x = 8,042.11

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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.