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Finding the Fourth Proportional to 41,692, 57,534.88 and 22,829.28

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Solution

The fourth proportional to 41,692, 57,534.88 and 22,829.28 is: 31,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 57,534.88 = 22,829.28 : x
  2. Step 2: Convert to fraction form
    41,692/57,534.88 = 22,829.28/x
  3. Step 3: Cross multiply
    41,692x = 57,534.88 × 22,829.28
  4. Step 4: Simplify right side
    41,692x = 1,313,479,885.29
  5. Step 5: Solve for x
    x = 1,313,479,885.29/41,692
  6. Step 6: Final answer
    x = 31,504.36

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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.