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Finding the Fourth Proportional to 81,754.42, 122,672.67 and 37,377.22

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Solution

The fourth proportional to 81,754.42, 122,672.67 and 37,377.22 is: 56,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.42 : 122,672.67 = 37,377.22 : x
  2. Step 2: Convert to fraction form
    81,754.42/122,672.67 = 37,377.22/x
  3. Step 3: Cross multiply
    81,754.42x = 122,672.67 × 37,377.22
  4. Step 4: Simplify right side
    81,754.42x = 4,585,163,374.58
  5. Step 5: Solve for x
    x = 4,585,163,374.58/81,754.42
  6. Step 6: Final answer
    x = 56,084.59

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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.