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Finding the Fourth Proportional to 133,690.82, 200,534.09 and 32,489.69

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Solution

The fourth proportional to 133,690.82, 200,534.09 and 32,489.69 is: 48,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.82 : 200,534.09 = 32,489.69 : x
  2. Step 2: Convert to fraction form
    133,690.82/200,534.09 = 32,489.69/x
  3. Step 3: Cross multiply
    133,690.82x = 200,534.09 × 32,489.69
  4. Step 4: Simplify right side
    133,690.82x = 6,515,289,253.41
  5. Step 5: Solve for x
    x = 6,515,289,253.41/133,690.82
  6. Step 6: Final answer
    x = 48,734.01

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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.