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Finding the Fourth Proportional to 57,494.07, 86,213.16 and 21,956.94

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Solution

The fourth proportional to 57,494.07, 86,213.16 and 21,956.94 is: 32,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,494.07 : 86,213.16 = 21,956.94 : x
  2. Step 2: Convert to fraction form
    57,494.07/86,213.16 = 21,956.94/x
  3. Step 3: Cross multiply
    57,494.07x = 86,213.16 × 21,956.94
  4. Step 4: Simplify right side
    57,494.07x = 1,892,977,181.33
  5. Step 5: Solve for x
    x = 1,892,977,181.33/57,494.07
  6. Step 6: Final answer
    x = 32,924.74

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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.