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Finding the Fourth Proportional to 49,419.60, 74,096.64 and 27,243.60

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Solution

The fourth proportional to 49,419.60, 74,096.64 and 27,243.60 is: 40,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,419.60 : 74,096.64 = 27,243.60 : x
  2. Step 2: Convert to fraction form
    49,419.60/74,096.64 = 27,243.60/x
  3. Step 3: Cross multiply
    49,419.60x = 74,096.64 × 27,243.60
  4. Step 4: Simplify right side
    49,419.60x = 2,018,659,221.50
  5. Step 5: Solve for x
    x = 2,018,659,221.50/49,419.60
  6. Step 6: Final answer
    x = 40,847.34

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Why These Related Problems?

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