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Finding the Fourth Proportional to 71,274.24, 106,840.80 and 33,768

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Solution

The fourth proportional to 71,274.24, 106,840.80 and 33,768 is: 50,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.24 : 106,840.80 = 33,768 : x
  2. Step 2: Convert to fraction form
    71,274.24/106,840.80 = 33,768/x
  3. Step 3: Cross multiply
    71,274.24x = 106,840.80 × 33,768
  4. Step 4: Simplify right side
    71,274.24x = 3,607,800,134.40
  5. Step 5: Solve for x
    x = 3,607,800,134.40/71,274.24
  6. Step 6: Final answer
    x = 50,618.57

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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.