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Finding the Fourth Proportional to 47,511.75, 65,573.18 and 27,364.76

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Solution

The fourth proportional to 47,511.75, 65,573.18 and 27,364.76 is: 37,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,511.75 : 65,573.18 = 27,364.76 : x
  2. Step 2: Convert to fraction form
    47,511.75/65,573.18 = 27,364.76/x
  3. Step 3: Cross multiply
    47,511.75x = 65,573.18 × 27,364.76
  4. Step 4: Simplify right side
    47,511.75x = 1,794,394,333.14
  5. Step 5: Solve for x
    x = 1,794,394,333.14/47,511.75
  6. Step 6: Final answer
    x = 37,767.38

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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.