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Finding the Fourth Proportional to 100,798.92, 151,198.38 and 30,677.67

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Solution

The fourth proportional to 100,798.92, 151,198.38 and 30,677.67 is: 46,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,798.92 : 151,198.38 = 30,677.67 : x
  2. Step 2: Convert to fraction form
    100,798.92/151,198.38 = 30,677.67/x
  3. Step 3: Cross multiply
    100,798.92x = 151,198.38 × 30,677.67
  4. Step 4: Simplify right side
    100,798.92x = 4,638,414,006.17
  5. Step 5: Solve for x
    x = 4,638,414,006.17/100,798.92
  6. Step 6: Final answer
    x = 46,016.51

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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.