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Finding the Fourth Proportional to 82,453.50, 113,783.64 and 45,658.44

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Solution

The fourth proportional to 82,453.50, 113,783.64 and 45,658.44 is: 63,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453.50 : 113,783.64 = 45,658.44 : x
  2. Step 2: Convert to fraction form
    82,453.50/113,783.64 = 45,658.44/x
  3. Step 3: Cross multiply
    82,453.50x = 113,783.64 × 45,658.44
  4. Step 4: Simplify right side
    82,453.50x = 5,195,183,499.92
  5. Step 5: Solve for x
    x = 5,195,183,499.92/82,453.50
  6. Step 6: Final answer
    x = 63,007.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.