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Finding the Fourth Proportional to 41,882.34, 57,797.64 and 22,762.11

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Solution

The fourth proportional to 41,882.34, 57,797.64 and 22,762.11 is: 31,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.34 : 57,797.64 = 22,762.11 : x
  2. Step 2: Convert to fraction form
    41,882.34/57,797.64 = 22,762.11/x
  3. Step 3: Cross multiply
    41,882.34x = 57,797.64 × 22,762.11
  4. Step 4: Simplify right side
    41,882.34x = 1,315,596,239.42
  5. Step 5: Solve for x
    x = 1,315,596,239.42/41,882.34
  6. Step 6: Final answer
    x = 31,411.72

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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.