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Finding the Fourth Proportional to 52,038.26, 71,843.73 and 34,164.60

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Solution

The fourth proportional to 52,038.26, 71,843.73 and 34,164.60 is: 47,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.26 : 71,843.73 = 34,164.60 : x
  2. Step 2: Convert to fraction form
    52,038.26/71,843.73 = 34,164.60/x
  3. Step 3: Cross multiply
    52,038.26x = 71,843.73 × 34,164.60
  4. Step 4: Simplify right side
    52,038.26x = 2,454,512,297.96
  5. Step 5: Solve for x
    x = 2,454,512,297.96/52,038.26
  6. Step 6: Final answer
    x = 47,167.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.