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Finding the Fourth Proportional to 41,645.70, 57,472.38 and 22,782.81

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Solution

The fourth proportional to 41,645.70, 57,472.38 and 22,782.81 is: 31,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,645.70 : 57,472.38 = 22,782.81 : x
  2. Step 2: Convert to fraction form
    41,645.70/57,472.38 = 22,782.81/x
  3. Step 3: Cross multiply
    41,645.70x = 57,472.38 × 22,782.81
  4. Step 4: Simplify right side
    41,645.70x = 1,309,382,313.79
  5. Step 5: Solve for x
    x = 1,309,382,313.79/41,645.70
  6. Step 6: Final answer
    x = 31,441.00

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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.