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Finding the Fourth Proportional to 105,933.96, 158,942.16 and 46,728

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Solution

The fourth proportional to 105,933.96, 158,942.16 and 46,728 is: 70,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,933.96 : 158,942.16 = 46,728 : x
  2. Step 2: Convert to fraction form
    105,933.96/158,942.16 = 46,728/x
  3. Step 3: Cross multiply
    105,933.96x = 158,942.16 × 46,728
  4. Step 4: Simplify right side
    105,933.96x = 7,427,049,252.48
  5. Step 5: Solve for x
    x = 7,427,049,252.48/105,933.96
  6. Step 6: Final answer
    x = 70,110.18

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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.