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Finding the Fourth Proportional to 33,164.20, 49,688.70 and 27,980.20

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Solution

The fourth proportional to 33,164.20, 49,688.70 and 27,980.20 is: 41,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.20 : 49,688.70 = 27,980.20 : x
  2. Step 2: Convert to fraction form
    33,164.20/49,688.70 = 27,980.20/x
  3. Step 3: Cross multiply
    33,164.20x = 49,688.70 × 27,980.20
  4. Step 4: Simplify right side
    33,164.20x = 1,390,299,763.74
  5. Step 5: Solve for x
    x = 1,390,299,763.74/33,164.20
  6. Step 6: Final answer
    x = 41,921.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.