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Finding the Fourth Proportional to 105,994.14, 158,949.36 and 46,788

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Solution

The fourth proportional to 105,994.14, 158,949.36 and 46,788 is: 70,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994.14 : 158,949.36 = 46,788 : x
  2. Step 2: Convert to fraction form
    105,994.14/158,949.36 = 46,788/x
  3. Step 3: Cross multiply
    105,994.14x = 158,949.36 × 46,788
  4. Step 4: Simplify right side
    105,994.14x = 7,436,922,655.68
  5. Step 5: Solve for x
    x = 7,436,922,655.68/105,994.14
  6. Step 6: Final answer
    x = 70,163.53

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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.