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Finding the Fourth Proportional to 52,161.33, 78,241.86 and 36,648.21

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Solution

The fourth proportional to 52,161.33, 78,241.86 and 36,648.21 is: 54,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,161.33 : 78,241.86 = 36,648.21 : x
  2. Step 2: Convert to fraction form
    52,161.33/78,241.86 = 36,648.21/x
  3. Step 3: Cross multiply
    52,161.33x = 78,241.86 × 36,648.21
  4. Step 4: Simplify right side
    52,161.33x = 2,867,424,116.07
  5. Step 5: Solve for x
    x = 2,867,424,116.07/52,161.33
  6. Step 6: Final answer
    x = 54,972.22

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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.