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Finding the Fourth Proportional to 54,950, 82,395.84 and 25,352.64

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Solution

The fourth proportional to 54,950, 82,395.84 and 25,352.64 is: 38,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950 : 82,395.84 = 25,352.64 : x
  2. Step 2: Convert to fraction form
    54,950/82,395.84 = 25,352.64/x
  3. Step 3: Cross multiply
    54,950x = 82,395.84 × 25,352.64
  4. Step 4: Simplify right side
    54,950x = 2,088,952,069.02
  5. Step 5: Solve for x
    x = 2,088,952,069.02/54,950
  6. Step 6: Final answer
    x = 38,015.51

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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.