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Finding the Fourth Proportional to 105,408.44, 158,174.97 and 38,895.32

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Solution

The fourth proportional to 105,408.44, 158,174.97 and 38,895.32 is: 58,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408.44 : 158,174.97 = 38,895.32 : x
  2. Step 2: Convert to fraction form
    105,408.44/158,174.97 = 38,895.32/x
  3. Step 3: Cross multiply
    105,408.44x = 158,174.97 × 38,895.32
  4. Step 4: Simplify right side
    105,408.44x = 6,152,266,074.14
  5. Step 5: Solve for x
    x = 6,152,266,074.14/105,408.44
  6. Step 6: Final answer
    x = 58,365.97

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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.