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Finding the Fourth Proportional to 133,749.86, 200,622.78 and 32,548.86

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Solution

The fourth proportional to 133,749.86, 200,622.78 and 32,548.86 is: 48,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,749.86 : 200,622.78 = 32,548.86 : x
  2. Step 2: Convert to fraction form
    133,749.86/200,622.78 = 32,548.86/x
  3. Step 3: Cross multiply
    133,749.86x = 200,622.78 × 32,548.86
  4. Step 4: Simplify right side
    133,749.86x = 6,530,042,779.03
  5. Step 5: Solve for x
    x = 6,530,042,779.03/133,749.86
  6. Step 6: Final answer
    x = 48,822.80

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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.