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Finding the Fourth Proportional to 27,842.28, 41,761.53 and 13,054.50

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Solution

The fourth proportional to 27,842.28, 41,761.53 and 13,054.50 is: 19,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.28 : 41,761.53 = 13,054.50 : x
  2. Step 2: Convert to fraction form
    27,842.28/41,761.53 = 13,054.50/x
  3. Step 3: Cross multiply
    27,842.28x = 41,761.53 × 13,054.50
  4. Step 4: Simplify right side
    27,842.28x = 545,175,893.39
  5. Step 5: Solve for x
    x = 545,175,893.39/27,842.28
  6. Step 6: Final answer
    x = 19,580.86

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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.