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Finding the Fourth Proportional to 99,629.76, 149,392.80 and 29,499.60

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Solution

The fourth proportional to 99,629.76, 149,392.80 and 29,499.60 is: 44,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,629.76 : 149,392.80 = 29,499.60 : x
  2. Step 2: Convert to fraction form
    99,629.76/149,392.80 = 29,499.60/x
  3. Step 3: Cross multiply
    99,629.76x = 149,392.80 × 29,499.60
  4. Step 4: Simplify right side
    99,629.76x = 4,407,027,842.88
  5. Step 5: Solve for x
    x = 4,407,027,842.88/99,629.76
  6. Step 6: Final answer
    x = 44,234.05

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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.