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Finding the Fourth Proportional to 41,407.66, 62,113.56 and 11,829.88

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Solution

The fourth proportional to 41,407.66, 62,113.56 and 11,829.88 is: 17,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.66 : 62,113.56 = 11,829.88 : x
  2. Step 2: Convert to fraction form
    41,407.66/62,113.56 = 11,829.88/x
  3. Step 3: Cross multiply
    41,407.66x = 62,113.56 × 11,829.88
  4. Step 4: Simplify right side
    41,407.66x = 734,795,961.17
  5. Step 5: Solve for x
    x = 734,795,961.17/41,407.66
  6. Step 6: Final answer
    x = 17,745.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.