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Finding the Fourth Proportional to 41,476, 57,238.32 and 23,571.76

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Solution

The fourth proportional to 41,476, 57,238.32 and 23,571.76 is: 32,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,476 : 57,238.32 = 23,571.76 : x
  2. Step 2: Convert to fraction form
    41,476/57,238.32 = 23,571.76/x
  3. Step 3: Cross multiply
    41,476x = 57,238.32 × 23,571.76
  4. Step 4: Simplify right side
    41,476x = 1,349,207,941.84
  5. Step 5: Solve for x
    x = 1,349,207,941.84/41,476
  6. Step 6: Final answer
    x = 32,529.85

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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.