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Finding the Fourth Proportional to 29,227, 43,840.50 and 9,771

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Solution

The fourth proportional to 29,227, 43,840.50 and 9,771 is: 14,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227 : 43,840.50 = 9,771 : x
  2. Step 2: Convert to fraction form
    29,227/43,840.50 = 9,771/x
  3. Step 3: Cross multiply
    29,227x = 43,840.50 × 9,771
  4. Step 4: Simplify right side
    29,227x = 428,365,525.50
  5. Step 5: Solve for x
    x = 428,365,525.50/29,227
  6. Step 6: Final answer
    x = 14,656.50

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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.