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Finding the Fourth Proportional to 51,256, 70,733.28 and 27,704

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Solution

The fourth proportional to 51,256, 70,733.28 and 27,704 is: 38,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,256 : 70,733.28 = 27,704 : x
  2. Step 2: Convert to fraction form
    51,256/70,733.28 = 27,704/x
  3. Step 3: Cross multiply
    51,256x = 70,733.28 × 27,704
  4. Step 4: Simplify right side
    51,256x = 1,959,594,789.12
  5. Step 5: Solve for x
    x = 1,959,594,789.12/51,256
  6. Step 6: Final answer
    x = 38,231.52

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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.