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Finding the Fourth Proportional to 27,458.34, 41,380.94 and 24,828.84

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Solution

The fourth proportional to 27,458.34, 41,380.94 and 24,828.84 is: 37,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.34 : 41,380.94 = 24,828.84 : x
  2. Step 2: Convert to fraction form
    27,458.34/41,380.94 = 24,828.84/x
  3. Step 3: Cross multiply
    27,458.34x = 41,380.94 × 24,828.84
  4. Step 4: Simplify right side
    27,458.34x = 1,027,440,738.31
  5. Step 5: Solve for x
    x = 1,027,440,738.31/27,458.34
  6. Step 6: Final answer
    x = 37,418.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.