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Finding the Fourth Proportional to 99,783.44, 149,675.16 and 29,662.64

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Solution

The fourth proportional to 99,783.44, 149,675.16 and 29,662.64 is: 44,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.44 : 149,675.16 = 29,662.64 : x
  2. Step 2: Convert to fraction form
    99,783.44/149,675.16 = 29,662.64/x
  3. Step 3: Cross multiply
    99,783.44x = 149,675.16 × 29,662.64
  4. Step 4: Simplify right side
    99,783.44x = 4,439,760,388.02
  5. Step 5: Solve for x
    x = 4,439,760,388.02/99,783.44
  6. Step 6: Final answer
    x = 44,493.96

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1.5x scale

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.