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Finding the Fourth Proportional to 85,377.55, 117,820.38 and 47,137.09

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Solution

The fourth proportional to 85,377.55, 117,820.38 and 47,137.09 is: 65,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,377.55 : 117,820.38 = 47,137.09 : x
  2. Step 2: Convert to fraction form
    85,377.55/117,820.38 = 47,137.09/x
  3. Step 3: Cross multiply
    85,377.55x = 117,820.38 × 47,137.09
  4. Step 4: Simplify right side
    85,377.55x = 5,553,709,855.89
  5. Step 5: Solve for x
    x = 5,553,709,855.89/85,377.55
  6. Step 6: Final answer
    x = 65,048.83

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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.