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Finding the Fourth Proportional to 78,520.70, 117,744.60 and 34,124.60

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Solution

The fourth proportional to 78,520.70, 117,744.60 and 34,124.60 is: 51,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,520.70 : 117,744.60 = 34,124.60 : x
  2. Step 2: Convert to fraction form
    78,520.70/117,744.60 = 34,124.60/x
  3. Step 3: Cross multiply
    78,520.70x = 117,744.60 × 34,124.60
  4. Step 4: Simplify right side
    78,520.70x = 4,017,987,377.16
  5. Step 5: Solve for x
    x = 4,017,987,377.16/78,520.70
  6. Step 6: Final answer
    x = 51,171.06

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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.