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Finding the Fourth Proportional to 66,830.52, 92,171.47 and 47,676.50

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Solution

The fourth proportional to 66,830.52, 92,171.47 and 47,676.50 is: 65,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830.52 : 92,171.47 = 47,676.50 : x
  2. Step 2: Convert to fraction form
    66,830.52/92,171.47 = 47,676.50/x
  3. Step 3: Cross multiply
    66,830.52x = 92,171.47 × 47,676.50
  4. Step 4: Simplify right side
    66,830.52x = 4,394,412,944.44
  5. Step 5: Solve for x
    x = 4,394,412,944.44/66,830.52
  6. Step 6: Final answer
    x = 65,754.58

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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.