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Finding the Fourth Proportional to 53,858.53, 74,313.52 and 31,196.17

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Solution

The fourth proportional to 53,858.53, 74,313.52 and 31,196.17 is: 43,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858.53 : 74,313.52 = 31,196.17 : x
  2. Step 2: Convert to fraction form
    53,858.53/74,313.52 = 31,196.17/x
  3. Step 3: Cross multiply
    53,858.53x = 74,313.52 × 31,196.17
  4. Step 4: Simplify right side
    53,858.53x = 2,318,297,203.22
  5. Step 5: Solve for x
    x = 2,318,297,203.22/53,858.53
  6. Step 6: Final answer
    x = 43,044.20

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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.