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Finding the Fourth Proportional to 57,692, 86,538 and 16,139

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Solution

The fourth proportional to 57,692, 86,538 and 16,139 is: 24,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692 : 86,538 = 16,139 : x
  2. Step 2: Convert to fraction form
    57,692/86,538 = 16,139/x
  3. Step 3: Cross multiply
    57,692x = 86,538 × 16,139
  4. Step 4: Simplify right side
    57,692x = 1,396,636,782
  5. Step 5: Solve for x
    x = 1,396,636,782/57,692
  6. Step 6: Final answer
    x = 24,208.50

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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.