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Finding the Fourth Proportional to 57,915.26, 86,872.95 and 22,854

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Solution

The fourth proportional to 57,915.26, 86,872.95 and 22,854 is: 34,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,915.26 : 86,872.95 = 22,854 : x
  2. Step 2: Convert to fraction form
    57,915.26/86,872.95 = 22,854/x
  3. Step 3: Cross multiply
    57,915.26x = 86,872.95 × 22,854
  4. Step 4: Simplify right side
    57,915.26x = 1,985,394,399.30
  5. Step 5: Solve for x
    x = 1,985,394,399.30/57,915.26
  6. Step 6: Final answer
    x = 34,281.03

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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.