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Finding the Fourth Proportional to 73,823.65, 110,662.58 and 36,353.05

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Solution

The fourth proportional to 73,823.65, 110,662.58 and 36,353.05 is: 54,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.65 : 110,662.58 = 36,353.05 : x
  2. Step 2: Convert to fraction form
    73,823.65/110,662.58 = 36,353.05/x
  3. Step 3: Cross multiply
    73,823.65x = 110,662.58 × 36,353.05
  4. Step 4: Simplify right side
    73,823.65x = 4,022,922,122.10
  5. Step 5: Solve for x
    x = 4,022,922,122.10/73,823.65
  6. Step 6: Final answer
    x = 54,493.68

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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.