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Finding the Fourth Proportional to 73,816.46, 110,708.13 and 21,214.22

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Solution

The fourth proportional to 73,816.46, 110,708.13 and 21,214.22 is: 31,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,816.46 : 110,708.13 = 21,214.22 : x
  2. Step 2: Convert to fraction form
    73,816.46/110,708.13 = 21,214.22/x
  3. Step 3: Cross multiply
    73,816.46x = 110,708.13 × 21,214.22
  4. Step 4: Simplify right side
    73,816.46x = 2,348,586,625.61
  5. Step 5: Solve for x
    x = 2,348,586,625.61/73,816.46
  6. Step 6: Final answer
    x = 31,816.57

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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.