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Finding the Fourth Proportional to 105,914.25, 158,871.24 and 27,028.47

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Solution

The fourth proportional to 105,914.25, 158,871.24 and 27,028.47 is: 40,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,914.25 : 158,871.24 = 27,028.47 : x
  2. Step 2: Convert to fraction form
    105,914.25/158,871.24 = 27,028.47/x
  3. Step 3: Cross multiply
    105,914.25x = 158,871.24 × 27,028.47
  4. Step 4: Simplify right side
    105,914.25x = 4,294,046,802.53
  5. Step 5: Solve for x
    x = 4,294,046,802.53/105,914.25
  6. Step 6: Final answer
    x = 40,542.67

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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.