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Finding the Fourth Proportional to 41,334.40, 57,040.80 and 22,472

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Solution

The fourth proportional to 41,334.40, 57,040.80 and 22,472 is: 31,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,334.40 : 57,040.80 = 22,472 : x
  2. Step 2: Convert to fraction form
    41,334.40/57,040.80 = 22,472/x
  3. Step 3: Cross multiply
    41,334.40x = 57,040.80 × 22,472
  4. Step 4: Simplify right side
    41,334.40x = 1,281,820,857.60
  5. Step 5: Solve for x
    x = 1,281,820,857.60/41,334.40
  6. Step 6: Final answer
    x = 31,010.99

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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.