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Finding the Fourth Proportional to 100,649.76, 150,997.94 and 29,573.48

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Solution

The fourth proportional to 100,649.76, 150,997.94 and 29,573.48 is: 44,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649.76 : 150,997.94 = 29,573.48 : x
  2. Step 2: Convert to fraction form
    100,649.76/150,997.94 = 29,573.48/x
  3. Step 3: Cross multiply
    100,649.76x = 150,997.94 × 29,573.48
  4. Step 4: Simplify right side
    100,649.76x = 4,465,534,558.63
  5. Step 5: Solve for x
    x = 4,465,534,558.63/100,649.76
  6. Step 6: Final answer
    x = 44,367.07

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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.