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Finding the Fourth Proportional to 53,974.65, 74,455.07 and 31,614.33

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Solution

The fourth proportional to 53,974.65, 74,455.07 and 31,614.33 is: 43,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,974.65 : 74,455.07 = 31,614.33 : x
  2. Step 2: Convert to fraction form
    53,974.65/74,455.07 = 31,614.33/x
  3. Step 3: Cross multiply
    53,974.65x = 74,455.07 × 31,614.33
  4. Step 4: Simplify right side
    53,974.65x = 2,353,846,995.08
  5. Step 5: Solve for x
    x = 2,353,846,995.08/53,974.65
  6. Step 6: Final answer
    x = 43,610.23

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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.