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Finding the Fourth Proportional to 50,622.25, 69,858.42 and 27,962.80

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Solution

The fourth proportional to 50,622.25, 69,858.42 and 27,962.80 is: 38,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,622.25 : 69,858.42 = 27,962.80 : x
  2. Step 2: Convert to fraction form
    50,622.25/69,858.42 = 27,962.80/x
  3. Step 3: Cross multiply
    50,622.25x = 69,858.42 × 27,962.80
  4. Step 4: Simplify right side
    50,622.25x = 1,953,436,677.48
  5. Step 5: Solve for x
    x = 1,953,436,677.48/50,622.25
  6. Step 6: Final answer
    x = 38,588.50

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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.