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Finding the Fourth Proportional to 86,745.76, 119,705.52 and 49,021.44

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Solution

The fourth proportional to 86,745.76, 119,705.52 and 49,021.44 is: 67,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,745.76 : 119,705.52 = 49,021.44 : x
  2. Step 2: Convert to fraction form
    86,745.76/119,705.52 = 49,021.44/x
  3. Step 3: Cross multiply
    86,745.76x = 119,705.52 × 49,021.44
  4. Step 4: Simplify right side
    86,745.76x = 5,868,136,966.35
  5. Step 5: Solve for x
    x = 5,868,136,966.35/86,745.76
  6. Step 6: Final answer
    x = 67,647.54

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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.