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Finding the Fourth Proportional to 80,175.65, 110,654.13 and 46,177.60

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Solution

The fourth proportional to 80,175.65, 110,654.13 and 46,177.60 is: 63,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,175.65 : 110,654.13 = 46,177.60 : x
  2. Step 2: Convert to fraction form
    80,175.65/110,654.13 = 46,177.60/x
  3. Step 3: Cross multiply
    80,175.65x = 110,654.13 × 46,177.60
  4. Step 4: Simplify right side
    80,175.65x = 5,109,741,427.05
  5. Step 5: Solve for x
    x = 5,109,741,427.05/80,175.65
  6. Step 6: Final answer
    x = 63,731.84

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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.