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Finding the Fourth Proportional to 100,912.42, 151,368.62 and 41,682.98

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Solution

The fourth proportional to 100,912.42, 151,368.62 and 41,682.98 is: 62,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912.42 : 151,368.62 = 41,682.98 : x
  2. Step 2: Convert to fraction form
    100,912.42/151,368.62 = 41,682.98/x
  3. Step 3: Cross multiply
    100,912.42x = 151,368.62 × 41,682.98
  4. Step 4: Simplify right side
    100,912.42x = 6,309,494,951.67
  5. Step 5: Solve for x
    x = 6,309,494,951.67/100,912.42
  6. Step 6: Final answer
    x = 62,524.47

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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.