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Finding the Fourth Proportional to 37,231.58, 55,850.08 and 13,858

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Solution

The fourth proportional to 37,231.58, 55,850.08 and 13,858 is: 20,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231.58 : 55,850.08 = 13,858 : x
  2. Step 2: Convert to fraction form
    37,231.58/55,850.08 = 13,858/x
  3. Step 3: Cross multiply
    37,231.58x = 55,850.08 × 13,858
  4. Step 4: Simplify right side
    37,231.58x = 773,970,408.64
  5. Step 5: Solve for x
    x = 773,970,408.64/37,231.58
  6. Step 6: Final answer
    x = 20,788.01

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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.