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Finding the Fourth Proportional to 105,843.64, 158,755.80 and 35,723.56

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Solution

The fourth proportional to 105,843.64, 158,755.80 and 35,723.56 is: 53,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,843.64 : 158,755.80 = 35,723.56 : x
  2. Step 2: Convert to fraction form
    105,843.64/158,755.80 = 35,723.56/x
  3. Step 3: Cross multiply
    105,843.64x = 158,755.80 × 35,723.56
  4. Step 4: Simplify right side
    105,843.64x = 5,671,322,346.65
  5. Step 5: Solve for x
    x = 5,671,322,346.65/105,843.64
  6. Step 6: Final answer
    x = 53,582.08

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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.