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Finding the Fourth Proportional to 71,074.94, 106,380.95 and 52,347.60

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Solution

The fourth proportional to 71,074.94, 106,380.95 and 52,347.60 is: 78,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,074.94 : 106,380.95 = 52,347.60 : x
  2. Step 2: Convert to fraction form
    71,074.94/106,380.95 = 52,347.60/x
  3. Step 3: Cross multiply
    71,074.94x = 106,380.95 × 52,347.60
  4. Step 4: Simplify right side
    71,074.94x = 5,568,787,156.48
  5. Step 5: Solve for x
    x = 5,568,787,156.48/71,074.94
  6. Step 6: Final answer
    x = 78,350.93

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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.