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Finding the Fourth Proportional to 41,882.24, 57,797.70 and 22,762.16

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Solution

The fourth proportional to 41,882.24, 57,797.70 and 22,762.16 is: 31,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.24 : 57,797.70 = 22,762.16 : x
  2. Step 2: Convert to fraction form
    41,882.24/57,797.70 = 22,762.16/x
  3. Step 3: Cross multiply
    41,882.24x = 57,797.70 × 22,762.16
  4. Step 4: Simplify right side
    41,882.24x = 1,315,600,495.03
  5. Step 5: Solve for x
    x = 1,315,600,495.03/41,882.24
  6. Step 6: Final answer
    x = 31,411.89

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