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Finding the Fourth Proportional to 83,794.36, 125,667.18 and 24,619

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Solution

The fourth proportional to 83,794.36, 125,667.18 and 24,619 is: 36,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.36 : 125,667.18 = 24,619 : x
  2. Step 2: Convert to fraction form
    83,794.36/125,667.18 = 24,619/x
  3. Step 3: Cross multiply
    83,794.36x = 125,667.18 × 24,619
  4. Step 4: Simplify right side
    83,794.36x = 3,093,800,304.42
  5. Step 5: Solve for x
    x = 3,093,800,304.42/83,794.36
  6. Step 6: Final answer
    x = 36,921.34

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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.