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Finding the Fourth Proportional to 29,850.78, 44,770.41 and 11,378.46

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Solution

The fourth proportional to 29,850.78, 44,770.41 and 11,378.46 is: 17,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.78 : 44,770.41 = 11,378.46 : x
  2. Step 2: Convert to fraction form
    29,850.78/44,770.41 = 11,378.46/x
  3. Step 3: Cross multiply
    29,850.78x = 44,770.41 × 11,378.46
  4. Step 4: Simplify right side
    29,850.78x = 509,418,319.37
  5. Step 5: Solve for x
    x = 509,418,319.37/29,850.78
  6. Step 6: Final answer
    x = 17,065.49

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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.