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Finding the Fourth Proportional to 53,896.38, 74,372.18 and 30,022.54

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Solution

The fourth proportional to 53,896.38, 74,372.18 and 30,022.54 is: 41,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896.38 : 74,372.18 = 30,022.54 : x
  2. Step 2: Convert to fraction form
    53,896.38/74,372.18 = 30,022.54/x
  3. Step 3: Cross multiply
    53,896.38x = 74,372.18 × 30,022.54
  4. Step 4: Simplify right side
    53,896.38x = 2,232,841,412.89
  5. Step 5: Solve for x
    x = 2,232,841,412.89/53,896.38
  6. Step 6: Final answer
    x = 41,428.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.