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Finding the Fourth Proportional to 81,016.07, 111,771 and 50,748.71

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Solution

The fourth proportional to 81,016.07, 111,771 and 50,748.71 is: 70,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016.07 : 111,771 = 50,748.71 : x
  2. Step 2: Convert to fraction form
    81,016.07/111,771 = 50,748.71/x
  3. Step 3: Cross multiply
    81,016.07x = 111,771 × 50,748.71
  4. Step 4: Simplify right side
    81,016.07x = 5,672,233,506.56
  5. Step 5: Solve for x
    x = 5,672,233,506.56/81,016.07
  6. Step 6: Final answer
    x = 70,013.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.