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Finding the Fourth Proportional to 106,408.94, 159,515.37 and 36,239.45

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Solution

The fourth proportional to 106,408.94, 159,515.37 and 36,239.45 is: 54,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.94 : 159,515.37 = 36,239.45 : x
  2. Step 2: Convert to fraction form
    106,408.94/159,515.37 = 36,239.45/x
  3. Step 3: Cross multiply
    106,408.94x = 159,515.37 × 36,239.45
  4. Step 4: Simplify right side
    106,408.94x = 5,780,748,477.77
  5. Step 5: Solve for x
    x = 5,780,748,477.77/106,408.94
  6. Step 6: Final answer
    x = 54,325.78

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1.5x scale

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.