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Finding the Fourth Proportional to 49,095.36, 67,730.04 and 33,174

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Solution

The fourth proportional to 49,095.36, 67,730.04 and 33,174 is: 45,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.36 : 67,730.04 = 33,174 : x
  2. Step 2: Convert to fraction form
    49,095.36/67,730.04 = 33,174/x
  3. Step 3: Cross multiply
    49,095.36x = 67,730.04 × 33,174
  4. Step 4: Simplify right side
    49,095.36x = 2,246,876,346.96
  5. Step 5: Solve for x
    x = 2,246,876,346.96/49,095.36
  6. Step 6: Final answer
    x = 45,765.55

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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.