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Finding the Fourth Proportional to 54,946.40, 82,419.60 and 41,824.40

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Solution

The fourth proportional to 54,946.40, 82,419.60 and 41,824.40 is: 62,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946.40 : 82,419.60 = 41,824.40 : x
  2. Step 2: Convert to fraction form
    54,946.40/82,419.60 = 41,824.40/x
  3. Step 3: Cross multiply
    54,946.40x = 82,419.60 × 41,824.40
  4. Step 4: Simplify right side
    54,946.40x = 3,447,150,318.24
  5. Step 5: Solve for x
    x = 3,447,150,318.24/54,946.40
  6. Step 6: Final answer
    x = 62,736.60

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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.