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Finding the Fourth Proportional to 72,716.84, 109,076.62 and 22,795.82

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Solution

The fourth proportional to 72,716.84, 109,076.62 and 22,795.82 is: 34,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716.84 : 109,076.62 = 22,795.82 : x
  2. Step 2: Convert to fraction form
    72,716.84/109,076.62 = 22,795.82/x
  3. Step 3: Cross multiply
    72,716.84x = 109,076.62 × 22,795.82
  4. Step 4: Simplify right side
    72,716.84x = 2,486,490,995.73
  5. Step 5: Solve for x
    x = 2,486,490,995.73/72,716.84
  6. Step 6: Final answer
    x = 34,194.16

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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.