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Finding the Fourth Proportional to 57,493.84, 86,253.74 and 17,516.42

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Solution

The fourth proportional to 57,493.84, 86,253.74 and 17,516.42 is: 26,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,493.84 : 86,253.74 = 17,516.42 : x
  2. Step 2: Convert to fraction form
    57,493.84/86,253.74 = 17,516.42/x
  3. Step 3: Cross multiply
    57,493.84x = 86,253.74 × 17,516.42
  4. Step 4: Simplify right side
    57,493.84x = 1,510,856,736.41
  5. Step 5: Solve for x
    x = 1,510,856,736.41/57,493.84
  6. Step 6: Final answer
    x = 26,278.58

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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.