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Finding the Fourth Proportional to 71,362.98, 106,899 and 33,809.22

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Solution

The fourth proportional to 71,362.98, 106,899 and 33,809.22 is: 50,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,362.98 : 106,899 = 33,809.22 : x
  2. Step 2: Convert to fraction form
    71,362.98/106,899 = 33,809.22/x
  3. Step 3: Cross multiply
    71,362.98x = 106,899 × 33,809.22
  4. Step 4: Simplify right side
    71,362.98x = 3,614,171,808.78
  5. Step 5: Solve for x
    x = 3,614,171,808.78/71,362.98
  6. Step 6: Final answer
    x = 50,644.91

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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.