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Finding the Fourth Proportional to 51,714, 71,365.32 and 28,162

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Solution

The fourth proportional to 51,714, 71,365.32 and 28,162 is: 38,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 71,365.32 = 28,162 : x
  2. Step 2: Convert to fraction form
    51,714/71,365.32 = 28,162/x
  3. Step 3: Cross multiply
    51,714x = 71,365.32 × 28,162
  4. Step 4: Simplify right side
    51,714x = 2,009,790,141.84
  5. Step 5: Solve for x
    x = 2,009,790,141.84/51,714
  6. Step 6: Final answer
    x = 38,863.56

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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.