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Finding the Fourth Proportional to 84,993.41, 117,291.02 and 47,267.66

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Solution

The fourth proportional to 84,993.41, 117,291.02 and 47,267.66 is: 65,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993.41 : 117,291.02 = 47,267.66 : x
  2. Step 2: Convert to fraction form
    84,993.41/117,291.02 = 47,267.66/x
  3. Step 3: Cross multiply
    84,993.41x = 117,291.02 × 47,267.66
  4. Step 4: Simplify right side
    84,993.41x = 5,544,071,231.62
  5. Step 5: Solve for x
    x = 5,544,071,231.62/84,993.41
  6. Step 6: Final answer
    x = 65,229.43

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Why These Related Problems?

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