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Finding the Fourth Proportional to 51,856, 71,561.28 and 28,304

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Solution

The fourth proportional to 51,856, 71,561.28 and 28,304 is: 39,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856 : 71,561.28 = 28,304 : x
  2. Step 2: Convert to fraction form
    51,856/71,561.28 = 28,304/x
  3. Step 3: Cross multiply
    51,856x = 71,561.28 × 28,304
  4. Step 4: Simplify right side
    51,856x = 2,025,470,469.12
  5. Step 5: Solve for x
    x = 2,025,470,469.12/51,856
  6. Step 6: Final answer
    x = 39,059.52

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