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Finding the Fourth Proportional to 80,205.75, 110,656.82 and 46,213.35

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Solution

The fourth proportional to 80,205.75, 110,656.82 and 46,213.35 is: 63,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.75 : 110,656.82 = 46,213.35 : x
  2. Step 2: Convert to fraction form
    80,205.75/110,656.82 = 46,213.35/x
  3. Step 3: Cross multiply
    80,205.75x = 110,656.82 × 46,213.35
  4. Step 4: Simplify right side
    80,205.75x = 5,113,822,121.48
  5. Step 5: Solve for x
    x = 5,113,822,121.48/80,205.75
  6. Step 6: Final answer
    x = 63,758.80

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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.