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Finding the Fourth Proportional to 57,174.71, 78,906.93 and 32,976.61

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Solution

The fourth proportional to 57,174.71, 78,906.93 and 32,976.61 is: 45,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,174.71 : 78,906.93 = 32,976.61 : x
  2. Step 2: Convert to fraction form
    57,174.71/78,906.93 = 32,976.61/x
  3. Step 3: Cross multiply
    57,174.71x = 78,906.93 × 32,976.61
  4. Step 4: Simplify right side
    57,174.71x = 2,602,082,735.98
  5. Step 5: Solve for x
    x = 2,602,082,735.98/57,174.71
  6. Step 6: Final answer
    x = 45,511.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.