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Finding the Fourth Proportional to 172,441.53, 258,662.39 and 47,782.53

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Solution

The fourth proportional to 172,441.53, 258,662.39 and 47,782.53 is: 71,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,441.53 : 258,662.39 = 47,782.53 : x
  2. Step 2: Convert to fraction form
    172,441.53/258,662.39 = 47,782.53/x
  3. Step 3: Cross multiply
    172,441.53x = 258,662.39 × 47,782.53
  4. Step 4: Simplify right side
    172,441.53x = 12,359,543,410.05
  5. Step 5: Solve for x
    x = 12,359,543,410.05/172,441.53
  6. Step 6: Final answer
    x = 71,673.82

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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.