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Finding the Fourth Proportional to 72,067.84, 108,101.76 and 22,816

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Solution

The fourth proportional to 72,067.84, 108,101.76 and 22,816 is: 34,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,067.84 : 108,101.76 = 22,816 : x
  2. Step 2: Convert to fraction form
    72,067.84/108,101.76 = 22,816/x
  3. Step 3: Cross multiply
    72,067.84x = 108,101.76 × 22,816
  4. Step 4: Simplify right side
    72,067.84x = 2,466,449,756.16
  5. Step 5: Solve for x
    x = 2,466,449,756.16/72,067.84
  6. Step 6: Final answer
    x = 34,224

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.