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Finding the Fourth Proportional to 73,216.35, 109,824.51 and 20,619

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Solution

The fourth proportional to 73,216.35, 109,824.51 and 20,619 is: 30,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,216.35 : 109,824.51 = 20,619 : x
  2. Step 2: Convert to fraction form
    73,216.35/109,824.51 = 20,619/x
  3. Step 3: Cross multiply
    73,216.35x = 109,824.51 × 20,619
  4. Step 4: Simplify right side
    73,216.35x = 2,264,471,571.69
  5. Step 5: Solve for x
    x = 2,264,471,571.69/73,216.35
  6. Step 6: Final answer
    x = 30,928.50

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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.