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Finding the Fourth Proportional to 52,105.42, 78,161.75 and 20,940.70

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Solution

The fourth proportional to 52,105.42, 78,161.75 and 20,940.70 is: 31,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.42 : 78,161.75 = 20,940.70 : x
  2. Step 2: Convert to fraction form
    52,105.42/78,161.75 = 20,940.70/x
  3. Step 3: Cross multiply
    52,105.42x = 78,161.75 × 20,940.70
  4. Step 4: Simplify right side
    52,105.42x = 1,636,761,758.23
  5. Step 5: Solve for x
    x = 1,636,761,758.23/52,105.42
  6. Step 6: Final answer
    x = 31,412.50

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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.