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Finding the Fourth Proportional to 41,078.69, 61,627.31 and 13,000.42

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Solution

The fourth proportional to 41,078.69, 61,627.31 and 13,000.42 is: 19,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078.69 : 61,627.31 = 13,000.42 : x
  2. Step 2: Convert to fraction form
    41,078.69/61,627.31 = 13,000.42/x
  3. Step 3: Cross multiply
    41,078.69x = 61,627.31 × 13,000.42
  4. Step 4: Simplify right side
    41,078.69x = 801,181,111.02
  5. Step 5: Solve for x
    x = 801,181,111.02/41,078.69
  6. Step 6: Final answer
    x = 19,503.57

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