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Finding the Fourth Proportional to 105,914.55, 158,871.75 and 27,028.80

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Solution

The fourth proportional to 105,914.55, 158,871.75 and 27,028.80 is: 40,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,914.55 : 158,871.75 = 27,028.80 : x
  2. Step 2: Convert to fraction form
    105,914.55/158,871.75 = 27,028.80/x
  3. Step 3: Cross multiply
    105,914.55x = 158,871.75 × 27,028.80
  4. Step 4: Simplify right side
    105,914.55x = 4,294,112,756.40
  5. Step 5: Solve for x
    x = 4,294,112,756.40/105,914.55
  6. Step 6: Final answer
    x = 40,543.18

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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.