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Finding the Fourth Proportional to 71,568.23, 107,327.71 and 36,015.81

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Solution

The fourth proportional to 71,568.23, 107,327.71 and 36,015.81 is: 54,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.23 : 107,327.71 = 36,015.81 : x
  2. Step 2: Convert to fraction form
    71,568.23/107,327.71 = 36,015.81/x
  3. Step 3: Cross multiply
    71,568.23x = 107,327.71 × 36,015.81
  4. Step 4: Simplify right side
    71,568.23x = 3,865,494,857.92
  5. Step 5: Solve for x
    x = 3,865,494,857.92/71,568.23
  6. Step 6: Final answer
    x = 54,011.32

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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.