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Finding the Fourth Proportional to 100,644.40, 150,793.80 and 47,940.40

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Solution

The fourth proportional to 100,644.40, 150,793.80 and 47,940.40 is: 71,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.40 : 150,793.80 = 47,940.40 : x
  2. Step 2: Convert to fraction form
    100,644.40/150,793.80 = 47,940.40/x
  3. Step 3: Cross multiply
    100,644.40x = 150,793.80 × 47,940.40
  4. Step 4: Simplify right side
    100,644.40x = 7,229,115,089.52
  5. Step 5: Solve for x
    x = 7,229,115,089.52/100,644.40
  6. Step 6: Final answer
    x = 71,828.29

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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.