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Finding the Fourth Proportional to 80,757, 111,444.66 and 47,223

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Solution

The fourth proportional to 80,757, 111,444.66 and 47,223 is: 65,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,757 : 111,444.66 = 47,223 : x
  2. Step 2: Convert to fraction form
    80,757/111,444.66 = 47,223/x
  3. Step 3: Cross multiply
    80,757x = 111,444.66 × 47,223
  4. Step 4: Simplify right side
    80,757x = 5,262,751,179.18
  5. Step 5: Solve for x
    x = 5,262,751,179.18/80,757
  6. Step 6: Final answer
    x = 65,167.74

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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.