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Finding the Fourth Proportional to 54,965.70, 82,448.55 and 25,441.20

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Solution

The fourth proportional to 54,965.70, 82,448.55 and 25,441.20 is: 38,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.70 : 82,448.55 = 25,441.20 : x
  2. Step 2: Convert to fraction form
    54,965.70/82,448.55 = 25,441.20/x
  3. Step 3: Cross multiply
    54,965.70x = 82,448.55 × 25,441.20
  4. Step 4: Simplify right side
    54,965.70x = 2,097,590,050.26
  5. Step 5: Solve for x
    x = 2,097,590,050.26/54,965.70
  6. Step 6: Final answer
    x = 38,161.80

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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.