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Finding the Fourth Proportional to 101,596.14, 152,408.50 and 42,418.34

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Solution

The fourth proportional to 101,596.14, 152,408.50 and 42,418.34 is: 63,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.14 : 152,408.50 = 42,418.34 : x
  2. Step 2: Convert to fraction form
    101,596.14/152,408.50 = 42,418.34/x
  3. Step 3: Cross multiply
    101,596.14x = 152,408.50 × 42,418.34
  4. Step 4: Simplify right side
    101,596.14x = 6,464,915,571.89
  5. Step 5: Solve for x
    x = 6,464,915,571.89/101,596.14
  6. Step 6: Final answer
    x = 63,633.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.