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Finding the Fourth Proportional to 57,113.66, 85,672.44 and 19,673.42

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Solution

The fourth proportional to 57,113.66, 85,672.44 and 19,673.42 is: 29,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.66 : 85,672.44 = 19,673.42 : x
  2. Step 2: Convert to fraction form
    57,113.66/85,672.44 = 19,673.42/x
  3. Step 3: Cross multiply
    57,113.66x = 85,672.44 × 19,673.42
  4. Step 4: Simplify right side
    57,113.66x = 1,685,469,894.54
  5. Step 5: Solve for x
    x = 1,685,469,894.54/57,113.66
  6. Step 6: Final answer
    x = 29,510.80

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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.