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Finding the Fourth Proportional to 51,982.70, 71,736.08 and 28,109.32

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Solution

The fourth proportional to 51,982.70, 71,736.08 and 28,109.32 is: 38,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.70 : 71,736.08 = 28,109.32 : x
  2. Step 2: Convert to fraction form
    51,982.70/71,736.08 = 28,109.32/x
  3. Step 3: Cross multiply
    51,982.70x = 71,736.08 × 28,109.32
  4. Step 4: Simplify right side
    51,982.70x = 2,016,452,428.27
  5. Step 5: Solve for x
    x = 2,016,452,428.27/51,982.70
  6. Step 6: Final answer
    x = 38,790.84

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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.