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Finding the Fourth Proportional to 50,426.50, 69,588.57 and 29,212.60

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Solution

The fourth proportional to 50,426.50, 69,588.57 and 29,212.60 is: 40,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,426.50 : 69,588.57 = 29,212.60 : x
  2. Step 2: Convert to fraction form
    50,426.50/69,588.57 = 29,212.60/x
  3. Step 3: Cross multiply
    50,426.50x = 69,588.57 × 29,212.60
  4. Step 4: Simplify right side
    50,426.50x = 2,032,863,059.98
  5. Step 5: Solve for x
    x = 2,032,863,059.98/50,426.50
  6. Step 6: Final answer
    x = 40,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.