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Finding the Fourth Proportional to 29,764.60, 44,649.60 and 12,230.80

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Solution

The fourth proportional to 29,764.60, 44,649.60 and 12,230.80 is: 18,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764.60 : 44,649.60 = 12,230.80 : x
  2. Step 2: Convert to fraction form
    29,764.60/44,649.60 = 12,230.80/x
  3. Step 3: Cross multiply
    29,764.60x = 44,649.60 × 12,230.80
  4. Step 4: Simplify right side
    29,764.60x = 546,100,327.68
  5. Step 5: Solve for x
    x = 546,100,327.68/29,764.60
  6. Step 6: Final answer
    x = 18,347.31

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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.