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Finding the Fourth Proportional to 103,268.72, 154,903.08 and 33,197.24

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Solution

The fourth proportional to 103,268.72, 154,903.08 and 33,197.24 is: 49,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,268.72 : 154,903.08 = 33,197.24 : x
  2. Step 2: Convert to fraction form
    103,268.72/154,903.08 = 33,197.24/x
  3. Step 3: Cross multiply
    103,268.72x = 154,903.08 × 33,197.24
  4. Step 4: Simplify right side
    103,268.72x = 5,142,355,235.25
  5. Step 5: Solve for x
    x = 5,142,355,235.25/103,268.72
  6. Step 6: Final answer
    x = 49,795.86

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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.