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Finding the Fourth Proportional to 72,133.81, 108,201.92 and 32,691.26

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Solution

The fourth proportional to 72,133.81, 108,201.92 and 32,691.26 is: 49,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,133.81 : 108,201.92 = 32,691.26 : x
  2. Step 2: Convert to fraction form
    72,133.81/108,201.92 = 32,691.26/x
  3. Step 3: Cross multiply
    72,133.81x = 108,201.92 × 32,691.26
  4. Step 4: Simplify right side
    72,133.81x = 3,537,257,099.22
  5. Step 5: Solve for x
    x = 3,537,257,099.22/72,133.81
  6. Step 6: Final answer
    x = 49,037.44

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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.