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Finding the Fourth Proportional to 29,930.94, 41,266.32 and 24,533.52

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Solution

The fourth proportional to 29,930.94, 41,266.32 and 24,533.52 is: 33,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.94 : 41,266.32 = 24,533.52 : x
  2. Step 2: Convert to fraction form
    29,930.94/41,266.32 = 24,533.52/x
  3. Step 3: Cross multiply
    29,930.94x = 41,266.32 × 24,533.52
  4. Step 4: Simplify right side
    29,930.94x = 1,012,408,087.05
  5. Step 5: Solve for x
    x = 1,012,408,087.05/29,930.94
  6. Step 6: Final answer
    x = 33,824.80

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