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Finding the Fourth Proportional to 38,098, 57,147 and 16,210

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Solution

The fourth proportional to 38,098, 57,147 and 16,210 is: 24,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098 : 57,147 = 16,210 : x
  2. Step 2: Convert to fraction form
    38,098/57,147 = 16,210/x
  3. Step 3: Cross multiply
    38,098x = 57,147 × 16,210
  4. Step 4: Simplify right side
    38,098x = 926,352,870
  5. Step 5: Solve for x
    x = 926,352,870/38,098
  6. Step 6: Final answer
    x = 24,315

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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.