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Finding the Fourth Proportional to 105,963.68, 158,960.28 and 35,824.16

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Solution

The fourth proportional to 105,963.68, 158,960.28 and 35,824.16 is: 53,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,963.68 : 158,960.28 = 35,824.16 : x
  2. Step 2: Convert to fraction form
    105,963.68/158,960.28 = 35,824.16/x
  3. Step 3: Cross multiply
    105,963.68x = 158,960.28 × 35,824.16
  4. Step 4: Simplify right side
    105,963.68x = 5,694,618,504.36
  5. Step 5: Solve for x
    x = 5,694,618,504.36/105,963.68
  6. Step 6: Final answer
    x = 53,741.23

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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.