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Finding the Fourth Proportional to 105,755.58, 158,596.43 and 42,559.29

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Solution

The fourth proportional to 105,755.58, 158,596.43 and 42,559.29 is: 63,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,755.58 : 158,596.43 = 42,559.29 : x
  2. Step 2: Convert to fraction form
    105,755.58/158,596.43 = 42,559.29/x
  3. Step 3: Cross multiply
    105,755.58x = 158,596.43 × 42,559.29
  4. Step 4: Simplify right side
    105,755.58x = 6,749,751,244.54
  5. Step 5: Solve for x
    x = 6,749,751,244.54/105,755.58
  6. Step 6: Final answer
    x = 63,824.07

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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.