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Finding the Fourth Proportional to 71,077.94, 106,385.44 and 52,350.60

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Solution

The fourth proportional to 71,077.94, 106,385.44 and 52,350.60 is: 78,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.94 : 106,385.44 = 52,350.60 : x
  2. Step 2: Convert to fraction form
    71,077.94/106,385.44 = 52,350.60/x
  3. Step 3: Cross multiply
    71,077.94x = 106,385.44 × 52,350.60
  4. Step 4: Simplify right side
    71,077.94x = 5,569,341,615.26
  5. Step 5: Solve for x
    x = 5,569,341,615.26/71,077.94
  6. Step 6: Final answer
    x = 78,355.42

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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.