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Finding the Fourth Proportional to 71,564.06, 107,349 and 18,257.42

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Solution

The fourth proportional to 71,564.06, 107,349 and 18,257.42 is: 27,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.06 : 107,349 = 18,257.42 : x
  2. Step 2: Convert to fraction form
    71,564.06/107,349 = 18,257.42/x
  3. Step 3: Cross multiply
    71,564.06x = 107,349 × 18,257.42
  4. Step 4: Simplify right side
    71,564.06x = 1,959,915,779.58
  5. Step 5: Solve for x
    x = 1,959,915,779.58/71,564.06
  6. Step 6: Final answer
    x = 27,386.87

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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.