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Finding the Fourth Proportional to 72,665.36, 109,034.52 and 33,218.96

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Solution

The fourth proportional to 72,665.36, 109,034.52 and 33,218.96 is: 49,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,665.36 : 109,034.52 = 33,218.96 : x
  2. Step 2: Convert to fraction form
    72,665.36/109,034.52 = 33,218.96/x
  3. Step 3: Cross multiply
    72,665.36x = 109,034.52 × 33,218.96
  4. Step 4: Simplify right side
    72,665.36x = 3,622,013,358.50
  5. Step 5: Solve for x
    x = 3,622,013,358.50/72,665.36
  6. Step 6: Final answer
    x = 49,845.12

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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.