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Finding the Fourth Proportional to 121,770.90, 182,624.54 and 36,361.66

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Solution

The fourth proportional to 121,770.90, 182,624.54 and 36,361.66 is: 54,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770.90 : 182,624.54 = 36,361.66 : x
  2. Step 2: Convert to fraction form
    121,770.90/182,624.54 = 36,361.66/x
  3. Step 3: Cross multiply
    121,770.90x = 182,624.54 × 36,361.66
  4. Step 4: Simplify right side
    121,770.90x = 6,640,531,431.14
  5. Step 5: Solve for x
    x = 6,640,531,431.14/121,770.90
  6. Step 6: Final answer
    x = 54,532.99

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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.