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Finding the Fourth Proportional to 84,969, 117,257.22 and 47,243.25

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Solution

The fourth proportional to 84,969, 117,257.22 and 47,243.25 is: 65,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969 : 117,257.22 = 47,243.25 : x
  2. Step 2: Convert to fraction form
    84,969/117,257.22 = 47,243.25/x
  3. Step 3: Cross multiply
    84,969x = 117,257.22 × 47,243.25
  4. Step 4: Simplify right side
    84,969x = 5,539,612,158.77
  5. Step 5: Solve for x
    x = 5,539,612,158.77/84,969
  6. Step 6: Final answer
    x = 65,195.69

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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.