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Finding the Fourth Proportional to 52,450.44, 72,408.41 and 35,544

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Solution

The fourth proportional to 52,450.44, 72,408.41 and 35,544 is: 49,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450.44 : 72,408.41 = 35,544 : x
  2. Step 2: Convert to fraction form
    52,450.44/72,408.41 = 35,544/x
  3. Step 3: Cross multiply
    52,450.44x = 72,408.41 × 35,544
  4. Step 4: Simplify right side
    52,450.44x = 2,573,684,525.04
  5. Step 5: Solve for x
    x = 2,573,684,525.04/52,450.44
  6. Step 6: Final answer
    x = 49,068.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.