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Finding the Fourth Proportional to 51,333, 77,030.22 and 22,149

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Solution

The fourth proportional to 51,333, 77,030.22 and 22,149 is: 33,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,333 : 77,030.22 = 22,149 : x
  2. Step 2: Convert to fraction form
    51,333/77,030.22 = 22,149/x
  3. Step 3: Cross multiply
    51,333x = 77,030.22 × 22,149
  4. Step 4: Simplify right side
    51,333x = 1,706,142,342.78
  5. Step 5: Solve for x
    x = 1,706,142,342.78/51,333
  6. Step 6: Final answer
    x = 33,236.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.