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Finding the Fourth Proportional to 53,673.28, 74,102.52 and 50,326

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Solution

The fourth proportional to 53,673.28, 74,102.52 and 50,326 is: 69,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,673.28 : 74,102.52 = 50,326 : x
  2. Step 2: Convert to fraction form
    53,673.28/74,102.52 = 50,326/x
  3. Step 3: Cross multiply
    53,673.28x = 74,102.52 × 50,326
  4. Step 4: Simplify right side
    53,673.28x = 3,729,283,421.52
  5. Step 5: Solve for x
    x = 3,729,283,421.52/53,673.28
  6. Step 6: Final answer
    x = 69,481.19

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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.