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Finding the Fourth Proportional to 100,651.89, 150,883.97 and 34,045.67

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Solution

The fourth proportional to 100,651.89, 150,883.97 and 34,045.67 is: 51,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.89 : 150,883.97 = 34,045.67 : x
  2. Step 2: Convert to fraction form
    100,651.89/150,883.97 = 34,045.67/x
  3. Step 3: Cross multiply
    100,651.89x = 150,883.97 × 34,045.67
  4. Step 4: Simplify right side
    100,651.89x = 5,136,946,313.23
  5. Step 5: Solve for x
    x = 5,136,946,313.23/100,651.89
  6. Step 6: Final answer
    x = 51,036.76

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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.