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Finding the Fourth Proportional to 38,054.67, 57,080.67 and 9,974.51

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Solution

The fourth proportional to 38,054.67, 57,080.67 and 9,974.51 is: 14,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.67 : 57,080.67 = 9,974.51 : x
  2. Step 2: Convert to fraction form
    38,054.67/57,080.67 = 9,974.51/x
  3. Step 3: Cross multiply
    38,054.67x = 57,080.67 × 9,974.51
  4. Step 4: Simplify right side
    38,054.67x = 569,351,713.72
  5. Step 5: Solve for x
    x = 569,351,713.72/38,054.67
  6. Step 6: Final answer
    x = 14,961.42

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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.