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Finding the Fourth Proportional to 73,164.64, 109,762.26 and 41,589.22

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Solution

The fourth proportional to 73,164.64, 109,762.26 and 41,589.22 is: 62,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.64 : 109,762.26 = 41,589.22 : x
  2. Step 2: Convert to fraction form
    73,164.64/109,762.26 = 41,589.22/x
  3. Step 3: Cross multiply
    73,164.64x = 109,762.26 × 41,589.22
  4. Step 4: Simplify right side
    73,164.64x = 4,564,926,778.84
  5. Step 5: Solve for x
    x = 4,564,926,778.84/73,164.64
  6. Step 6: Final answer
    x = 62,392.53

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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.