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Finding the Fourth Proportional to 29,955, 44,932.50 and 8,067

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Solution

The fourth proportional to 29,955, 44,932.50 and 8,067 is: 12,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,955 : 44,932.50 = 8,067 : x
  2. Step 2: Convert to fraction form
    29,955/44,932.50 = 8,067/x
  3. Step 3: Cross multiply
    29,955x = 44,932.50 × 8,067
  4. Step 4: Simplify right side
    29,955x = 362,470,477.50
  5. Step 5: Solve for x
    x = 362,470,477.50/29,955
  6. Step 6: Final answer
    x = 12,100.50

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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.