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Finding the Fourth Proportional to 53,054.88, 73,191.12 and 31,797.24

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Solution

The fourth proportional to 53,054.88, 73,191.12 and 31,797.24 is: 43,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,054.88 : 73,191.12 = 31,797.24 : x
  2. Step 2: Convert to fraction form
    53,054.88/73,191.12 = 31,797.24/x
  3. Step 3: Cross multiply
    53,054.88x = 73,191.12 × 31,797.24
  4. Step 4: Simplify right side
    53,054.88x = 2,327,275,608.51
  5. Step 5: Solve for x
    x = 2,327,275,608.51/53,054.88
  6. Step 6: Final answer
    x = 43,865.44

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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.