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Finding the Fourth Proportional to 73,211.82, 109,818.05 and 35,774.83

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Solution

The fourth proportional to 73,211.82, 109,818.05 and 35,774.83 is: 53,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,211.82 : 109,818.05 = 35,774.83 : x
  2. Step 2: Convert to fraction form
    73,211.82/109,818.05 = 35,774.83/x
  3. Step 3: Cross multiply
    73,211.82x = 109,818.05 × 35,774.83
  4. Step 4: Simplify right side
    73,211.82x = 3,928,722,069.68
  5. Step 5: Solve for x
    x = 3,928,722,069.68/73,211.82
  6. Step 6: Final answer
    x = 53,662.40

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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.