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Finding the Fourth Proportional to 29,850.12, 44,773.56 and 9,072

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Solution

The fourth proportional to 29,850.12, 44,773.56 and 9,072 is: 13,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.12 : 44,773.56 = 9,072 : x
  2. Step 2: Convert to fraction form
    29,850.12/44,773.56 = 9,072/x
  3. Step 3: Cross multiply
    29,850.12x = 44,773.56 × 9,072
  4. Step 4: Simplify right side
    29,850.12x = 406,185,736.32
  5. Step 5: Solve for x
    x = 406,185,736.32/29,850.12
  6. Step 6: Final answer
    x = 13,607.51

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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.