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Finding the Fourth Proportional to 51,196.38, 70,648.73 and 28,537.84

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Solution

The fourth proportional to 51,196.38, 70,648.73 and 28,537.84 is: 39,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196.38 : 70,648.73 = 28,537.84 : x
  2. Step 2: Convert to fraction form
    51,196.38/70,648.73 = 28,537.84/x
  3. Step 3: Cross multiply
    51,196.38x = 70,648.73 × 28,537.84
  4. Step 4: Simplify right side
    51,196.38x = 2,016,162,010.25
  5. Step 5: Solve for x
    x = 2,016,162,010.25/51,196.38
  6. Step 6: Final answer
    x = 39,380.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.