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Finding the Fourth Proportional to 89,768.94, 134,412.57 and 50,213.40

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Solution

The fourth proportional to 89,768.94, 134,412.57 and 50,213.40 is: 75,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,768.94 : 134,412.57 = 50,213.40 : x
  2. Step 2: Convert to fraction form
    89,768.94/134,412.57 = 50,213.40/x
  3. Step 3: Cross multiply
    89,768.94x = 134,412.57 × 50,213.40
  4. Step 4: Simplify right side
    89,768.94x = 6,749,312,142.44
  5. Step 5: Solve for x
    x = 6,749,312,142.44/89,768.94
  6. Step 6: Final answer
    x = 75,185.38

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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.