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Finding the Fourth Proportional to 100,092.02, 150,154.43 and 47,472.80

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Solution

The fourth proportional to 100,092.02, 150,154.43 and 47,472.80 is: 71,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,092.02 : 150,154.43 = 47,472.80 : x
  2. Step 2: Convert to fraction form
    100,092.02/150,154.43 = 47,472.80/x
  3. Step 3: Cross multiply
    100,092.02x = 150,154.43 × 47,472.80
  4. Step 4: Simplify right side
    100,092.02x = 7,128,250,236.37
  5. Step 5: Solve for x
    x = 7,128,250,236.37/100,092.02
  6. Step 6: Final answer
    x = 71,216.97

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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.