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Finding the Fourth Proportional to 57,814.38, 86,736.50 and 17,832.46

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Solution

The fourth proportional to 57,814.38, 86,736.50 and 17,832.46 is: 26,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,814.38 : 86,736.50 = 17,832.46 : x
  2. Step 2: Convert to fraction form
    57,814.38/86,736.50 = 17,832.46/x
  3. Step 3: Cross multiply
    57,814.38x = 86,736.50 × 17,832.46
  4. Step 4: Simplify right side
    57,814.38x = 1,546,725,077.63
  5. Step 5: Solve for x
    x = 1,546,725,077.63/57,814.38
  6. Step 6: Final answer
    x = 26,753.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.