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Finding the Fourth Proportional to 105,954.77, 158,914.68 and 34,878.33

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Solution

The fourth proportional to 105,954.77, 158,914.68 and 34,878.33 is: 52,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.77 : 158,914.68 = 34,878.33 : x
  2. Step 2: Convert to fraction form
    105,954.77/158,914.68 = 34,878.33/x
  3. Step 3: Cross multiply
    105,954.77x = 158,914.68 × 34,878.33
  4. Step 4: Simplify right side
    105,954.77x = 5,542,678,650.88
  5. Step 5: Solve for x
    x = 5,542,678,650.88/105,954.77
  6. Step 6: Final answer
    x = 52,311.74

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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.