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Finding the Fourth Proportional to 90,385.76, 135,498.44 and 34,186.54

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Solution

The fourth proportional to 90,385.76, 135,498.44 and 34,186.54 is: 51,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,385.76 : 135,498.44 = 34,186.54 : x
  2. Step 2: Convert to fraction form
    90,385.76/135,498.44 = 34,186.54/x
  3. Step 3: Cross multiply
    90,385.76x = 135,498.44 × 34,186.54
  4. Step 4: Simplify right side
    90,385.76x = 4,632,222,585.72
  5. Step 5: Solve for x
    x = 4,632,222,585.72/90,385.76
  6. Step 6: Final answer
    x = 51,249.48

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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.