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Finding the Fourth Proportional to 80,971.04, 111,676.88 and 52,685.84

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Solution

The fourth proportional to 80,971.04, 111,676.88 and 52,685.84 is: 72,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,971.04 : 111,676.88 = 52,685.84 : x
  2. Step 2: Convert to fraction form
    80,971.04/111,676.88 = 52,685.84/x
  3. Step 3: Cross multiply
    80,971.04x = 111,676.88 × 52,685.84
  4. Step 4: Simplify right side
    80,971.04x = 5,883,790,231.38
  5. Step 5: Solve for x
    x = 5,883,790,231.38/80,971.04
  6. Step 6: Final answer
    x = 72,665.37

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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.