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Finding the Fourth Proportional to 41,920.50, 57,849.12 and 23,057.64

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Solution

The fourth proportional to 41,920.50, 57,849.12 and 23,057.64 is: 31,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.50 : 57,849.12 = 23,057.64 : x
  2. Step 2: Convert to fraction form
    41,920.50/57,849.12 = 23,057.64/x
  3. Step 3: Cross multiply
    41,920.50x = 57,849.12 × 23,057.64
  4. Step 4: Simplify right side
    41,920.50x = 1,333,864,183.28
  5. Step 5: Solve for x
    x = 1,333,864,183.28/41,920.50
  6. Step 6: Final answer
    x = 31,818.90

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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.