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Finding the Fourth Proportional to 53,644.94, 74,025.12 and 31,837.46

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Solution

The fourth proportional to 53,644.94, 74,025.12 and 31,837.46 is: 43,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644.94 : 74,025.12 = 31,837.46 : x
  2. Step 2: Convert to fraction form
    53,644.94/74,025.12 = 31,837.46/x
  3. Step 3: Cross multiply
    53,644.94x = 74,025.12 × 31,837.46
  4. Step 4: Simplify right side
    53,644.94x = 2,356,771,546.26
  5. Step 5: Solve for x
    x = 2,356,771,546.26/53,644.94
  6. Step 6: Final answer
    x = 43,932.78

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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.