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Finding the Fourth Proportional to 105,954.99, 158,994.65 and 39,441.43

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Solution

The fourth proportional to 105,954.99, 158,994.65 and 39,441.43 is: 59,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.99 : 158,994.65 = 39,441.43 : x
  2. Step 2: Convert to fraction form
    105,954.99/158,994.65 = 39,441.43/x
  3. Step 3: Cross multiply
    105,954.99x = 158,994.65 × 39,441.43
  4. Step 4: Simplify right side
    105,954.99x = 6,270,976,358.35
  5. Step 5: Solve for x
    x = 6,270,976,358.35/105,954.99
  6. Step 6: Final answer
    x = 59,185.29

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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.