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Finding the Fourth Proportional to 78,344.94, 117,269.52 and 50,227.44

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Solution

The fourth proportional to 78,344.94, 117,269.52 and 50,227.44 is: 75,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344.94 : 117,269.52 = 50,227.44 : x
  2. Step 2: Convert to fraction form
    78,344.94/117,269.52 = 50,227.44/x
  3. Step 3: Cross multiply
    78,344.94x = 117,269.52 × 50,227.44
  4. Step 4: Simplify right side
    78,344.94x = 5,890,147,779.63
  5. Step 5: Solve for x
    x = 5,890,147,779.63/78,344.94
  6. Step 6: Final answer
    x = 75,182.24

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1.5x scale

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.