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Finding the Fourth Proportional to 34,857, 52,308.54 and 16,390.44

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Solution

The fourth proportional to 34,857, 52,308.54 and 16,390.44 is: 24,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857 : 52,308.54 = 16,390.44 : x
  2. Step 2: Convert to fraction form
    34,857/52,308.54 = 16,390.44/x
  3. Step 3: Cross multiply
    34,857x = 52,308.54 × 16,390.44
  4. Step 4: Simplify right side
    34,857x = 857,359,986.36
  5. Step 5: Solve for x
    x = 857,359,986.36/34,857
  6. Step 6: Final answer
    x = 24,596.49

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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.