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Finding the Fourth Proportional to 41,471.62, 57,185.60 and 28,019.50

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Solution

The fourth proportional to 41,471.62, 57,185.60 and 28,019.50 is: 38,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,471.62 : 57,185.60 = 28,019.50 : x
  2. Step 2: Convert to fraction form
    41,471.62/57,185.60 = 28,019.50/x
  3. Step 3: Cross multiply
    41,471.62x = 57,185.60 × 28,019.50
  4. Step 4: Simplify right side
    41,471.62x = 1,602,311,636.14
  5. Step 5: Solve for x
    x = 1,602,311,636.14/41,471.62
  6. Step 6: Final answer
    x = 38,636.34

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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.