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Finding the Fourth Proportional to 100,006.98, 149,896.26 and 33,431.46

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Solution

The fourth proportional to 100,006.98, 149,896.26 and 33,431.46 is: 50,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006.98 : 149,896.26 = 33,431.46 : x
  2. Step 2: Convert to fraction form
    100,006.98/149,896.26 = 33,431.46/x
  3. Step 3: Cross multiply
    100,006.98x = 149,896.26 × 33,431.46
  4. Step 4: Simplify right side
    100,006.98x = 5,011,250,820.34
  5. Step 5: Solve for x
    x = 5,011,250,820.34/100,006.98
  6. Step 6: Final answer
    x = 50,109.01

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1.5x scale

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.