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Finding the Fourth Proportional to 53,181, 73,389.24 and 31,685.58

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Solution

The fourth proportional to 53,181, 73,389.24 and 31,685.58 is: 43,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,181 : 73,389.24 = 31,685.58 : x
  2. Step 2: Convert to fraction form
    53,181/73,389.24 = 31,685.58/x
  3. Step 3: Cross multiply
    53,181x = 73,389.24 × 31,685.58
  4. Step 4: Simplify right side
    53,181x = 2,325,380,635.16
  5. Step 5: Solve for x
    x = 2,325,380,635.16/53,181
  6. Step 6: Final answer
    x = 43,725.78

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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.