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Finding the Fourth Proportional to 133,764.01, 200,644.02 and 32,562.82

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Solution

The fourth proportional to 133,764.01, 200,644.02 and 32,562.82 is: 48,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.01 : 200,644.02 = 32,562.82 : x
  2. Step 2: Convert to fraction form
    133,764.01/200,644.02 = 32,562.82/x
  3. Step 3: Cross multiply
    133,764.01x = 200,644.02 × 32,562.82
  4. Step 4: Simplify right side
    133,764.01x = 6,533,535,107.34
  5. Step 5: Solve for x
    x = 6,533,535,107.34/133,764.01
  6. Step 6: Final answer
    x = 48,843.74

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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.