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Finding the Fourth Proportional to 52,114, 71,976.72 and 35,317.84

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Solution

The fourth proportional to 52,114, 71,976.72 and 35,317.84 is: 48,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114 : 71,976.72 = 35,317.84 : x
  2. Step 2: Convert to fraction form
    52,114/71,976.72 = 35,317.84/x
  3. Step 3: Cross multiply
    52,114x = 71,976.72 × 35,317.84
  4. Step 4: Simplify right side
    52,114x = 2,542,062,280.68
  5. Step 5: Solve for x
    x = 2,542,062,280.68/52,114
  6. Step 6: Final answer
    x = 48,778.87

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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.