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Finding the Fourth Proportional to 54,917.40, 82,376.10 and 13,364.40

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Solution

The fourth proportional to 54,917.40, 82,376.10 and 13,364.40 is: 20,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,917.40 : 82,376.10 = 13,364.40 : x
  2. Step 2: Convert to fraction form
    54,917.40/82,376.10 = 13,364.40/x
  3. Step 3: Cross multiply
    54,917.40x = 82,376.10 × 13,364.40
  4. Step 4: Simplify right side
    54,917.40x = 1,100,907,150.84
  5. Step 5: Solve for x
    x = 1,100,907,150.84/54,917.40
  6. Step 6: Final answer
    x = 20,046.60

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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.