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Finding the Fourth Proportional to 57,531, 86,171.86 and 27,886.82

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Solution

The fourth proportional to 57,531, 86,171.86 and 27,886.82 is: 41,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531 : 86,171.86 = 27,886.82 : x
  2. Step 2: Convert to fraction form
    57,531/86,171.86 = 27,886.82/x
  3. Step 3: Cross multiply
    57,531x = 86,171.86 × 27,886.82
  4. Step 4: Simplify right side
    57,531x = 2,403,059,148.89
  5. Step 5: Solve for x
    x = 2,403,059,148.89/57,531
  6. Step 6: Final answer
    x = 41,769.81

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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.