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Finding the Fourth Proportional to 106,420.98, 159,647.85 and 36,283.89

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Solution

The fourth proportional to 106,420.98, 159,647.85 and 36,283.89 is: 54,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.98 : 159,647.85 = 36,283.89 : x
  2. Step 2: Convert to fraction form
    106,420.98/159,647.85 = 36,283.89/x
  3. Step 3: Cross multiply
    106,420.98x = 159,647.85 × 36,283.89
  4. Step 4: Simplify right side
    106,420.98x = 5,792,645,028.14
  5. Step 5: Solve for x
    x = 5,792,645,028.14/106,420.98
  6. Step 6: Final answer
    x = 54,431.42

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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.