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Finding the Fourth Proportional to 73,226.84, 109,848.35 and 23,289.42

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Solution

The fourth proportional to 73,226.84, 109,848.35 and 23,289.42 is: 34,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226.84 : 109,848.35 = 23,289.42 : x
  2. Step 2: Convert to fraction form
    73,226.84/109,848.35 = 23,289.42/x
  3. Step 3: Cross multiply
    73,226.84x = 109,848.35 × 23,289.42
  4. Step 4: Simplify right side
    73,226.84x = 2,558,304,829.61
  5. Step 5: Solve for x
    x = 2,558,304,829.61/73,226.84
  6. Step 6: Final answer
    x = 34,936.71

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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.