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Finding the Fourth Proportional to 73,616.64, 110,409.76 and 21,014.43

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Solution

The fourth proportional to 73,616.64, 110,409.76 and 21,014.43 is: 31,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,616.64 : 110,409.76 = 21,014.43 : x
  2. Step 2: Convert to fraction form
    73,616.64/110,409.76 = 21,014.43/x
  3. Step 3: Cross multiply
    73,616.64x = 110,409.76 × 21,014.43
  4. Step 4: Simplify right side
    73,616.64x = 2,320,198,172.84
  5. Step 5: Solve for x
    x = 2,320,198,172.84/73,616.64
  6. Step 6: Final answer
    x = 31,517.31

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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.