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Finding the Fourth Proportional to 73,309.40, 109,953.30 and 20,724.20

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Solution

The fourth proportional to 73,309.40, 109,953.30 and 20,724.20 is: 31,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,309.40 : 109,953.30 = 20,724.20 : x
  2. Step 2: Convert to fraction form
    73,309.40/109,953.30 = 20,724.20/x
  3. Step 3: Cross multiply
    73,309.40x = 109,953.30 × 20,724.20
  4. Step 4: Simplify right side
    73,309.40x = 2,278,694,179.86
  5. Step 5: Solve for x
    x = 2,278,694,179.86/73,309.40
  6. Step 6: Final answer
    x = 31,083.25

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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.