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Finding the Fourth Proportional to 71,137.14, 106,703.28 and 33,715.14

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Solution

The fourth proportional to 71,137.14, 106,703.28 and 33,715.14 is: 50,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137.14 : 106,703.28 = 33,715.14 : x
  2. Step 2: Convert to fraction form
    71,137.14/106,703.28 = 33,715.14/x
  3. Step 3: Cross multiply
    71,137.14x = 106,703.28 × 33,715.14
  4. Step 4: Simplify right side
    71,137.14x = 3,597,516,023.66
  5. Step 5: Solve for x
    x = 3,597,516,023.66/71,137.14
  6. Step 6: Final answer
    x = 50,571.56

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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.