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Finding the Fourth Proportional to 54,349.58, 81,524.42 and 14,907

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Solution

The fourth proportional to 54,349.58, 81,524.42 and 14,907 is: 22,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,349.58 : 81,524.42 = 14,907 : x
  2. Step 2: Convert to fraction form
    54,349.58/81,524.42 = 14,907/x
  3. Step 3: Cross multiply
    54,349.58x = 81,524.42 × 14,907
  4. Step 4: Simplify right side
    54,349.58x = 1,215,284,528.94
  5. Step 5: Solve for x
    x = 1,215,284,528.94/54,349.58
  6. Step 6: Final answer
    x = 22,360.51

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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.