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Finding the Fourth Proportional to 72,532.44, 108,832.12 and 33,101.64

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Solution

The fourth proportional to 72,532.44, 108,832.12 and 33,101.64 is: 49,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,532.44 : 108,832.12 = 33,101.64 : x
  2. Step 2: Convert to fraction form
    72,532.44/108,832.12 = 33,101.64/x
  3. Step 3: Cross multiply
    72,532.44x = 108,832.12 × 33,101.64
  4. Step 4: Simplify right side
    72,532.44x = 3,602,521,656.68
  5. Step 5: Solve for x
    x = 3,602,521,656.68/72,532.44
  6. Step 6: Final answer
    x = 49,667.73

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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.