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Finding the Fourth Proportional to 80,205.75, 110,713.14 and 46,671.75

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Solution

The fourth proportional to 80,205.75, 110,713.14 and 46,671.75 is: 64,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.75 : 110,713.14 = 46,671.75 : x
  2. Step 2: Convert to fraction form
    80,205.75/110,713.14 = 46,671.75/x
  3. Step 3: Cross multiply
    80,205.75x = 110,713.14 × 46,671.75
  4. Step 4: Simplify right side
    80,205.75x = 5,167,175,991.80
  5. Step 5: Solve for x
    x = 5,167,175,991.80/80,205.75
  6. Step 6: Final answer
    x = 64,424.01

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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.