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Finding the Fourth Proportional to 30,164.92, 41,628.90 and 20,077.24

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Solution

The fourth proportional to 30,164.92, 41,628.90 and 20,077.24 is: 27,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.92 : 41,628.90 = 20,077.24 : x
  2. Step 2: Convert to fraction form
    30,164.92/41,628.90 = 20,077.24/x
  3. Step 3: Cross multiply
    30,164.92x = 41,628.90 × 20,077.24
  4. Step 4: Simplify right side
    30,164.92x = 835,793,416.24
  5. Step 5: Solve for x
    x = 835,793,416.24/30,164.92
  6. Step 6: Final answer
    x = 27,707.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.