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Finding the Fourth Proportional to 57,814.42, 86,725.41 and 17,828.50

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Solution

The fourth proportional to 57,814.42, 86,725.41 and 17,828.50 is: 26,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,814.42 : 86,725.41 = 17,828.50 : x
  2. Step 2: Convert to fraction form
    57,814.42/86,725.41 = 17,828.50/x
  3. Step 3: Cross multiply
    57,814.42x = 86,725.41 × 17,828.50
  4. Step 4: Simplify right side
    57,814.42x = 1,546,183,972.19
  5. Step 5: Solve for x
    x = 1,546,183,972.19/57,814.42
  6. Step 6: Final answer
    x = 26,743.92

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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.