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Finding the Fourth Proportional to 54,292.26, 74,926.09 and 31,313.54

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Solution

The fourth proportional to 54,292.26, 74,926.09 and 31,313.54 is: 43,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,292.26 : 74,926.09 = 31,313.54 : x
  2. Step 2: Convert to fraction form
    54,292.26/74,926.09 = 31,313.54/x
  3. Step 3: Cross multiply
    54,292.26x = 74,926.09 × 31,313.54
  4. Step 4: Simplify right side
    54,292.26x = 2,346,201,087.95
  5. Step 5: Solve for x
    x = 2,346,201,087.95/54,292.26
  6. Step 6: Final answer
    x = 43,214.28

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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.