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Finding the Fourth Proportional to 84,726, 127,089 and 22,396.50

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Solution

The fourth proportional to 84,726, 127,089 and 22,396.50 is: 33,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726 : 127,089 = 22,396.50 : x
  2. Step 2: Convert to fraction form
    84,726/127,089 = 22,396.50/x
  3. Step 3: Cross multiply
    84,726x = 127,089 × 22,396.50
  4. Step 4: Simplify right side
    84,726x = 2,846,348,788.50
  5. Step 5: Solve for x
    x = 2,846,348,788.50/84,726
  6. Step 6: Final answer
    x = 33,594.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.