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Finding the Fourth Proportional to 105,955.21, 158,932.41 and 27,069.31

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Solution

The fourth proportional to 105,955.21, 158,932.41 and 27,069.31 is: 40,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.21 : 158,932.41 = 27,069.31 : x
  2. Step 2: Convert to fraction form
    105,955.21/158,932.41 = 27,069.31/x
  3. Step 3: Cross multiply
    105,955.21x = 158,932.41 × 27,069.31
  4. Step 4: Simplify right side
    105,955.21x = 4,302,190,675.34
  5. Step 5: Solve for x
    x = 4,302,190,675.34/105,955.21
  6. Step 6: Final answer
    x = 40,603.86

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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.