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Finding the Fourth Proportional to 114,782.42, 172,183.53 and 31,676.42

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Solution

The fourth proportional to 114,782.42, 172,183.53 and 31,676.42 is: 47,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,782.42 : 172,183.53 = 31,676.42 : x
  2. Step 2: Convert to fraction form
    114,782.42/172,183.53 = 31,676.42/x
  3. Step 3: Cross multiply
    114,782.42x = 172,183.53 × 31,676.42
  4. Step 4: Simplify right side
    114,782.42x = 5,454,157,813.36
  5. Step 5: Solve for x
    x = 5,454,157,813.36/114,782.42
  6. Step 6: Final answer
    x = 47,517.36

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1.5x scale

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.