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Finding the Fourth Proportional to 71,640.72, 107,461 and 24,893.60

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Solution

The fourth proportional to 71,640.72, 107,461 and 24,893.60 is: 37,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640.72 : 107,461 = 24,893.60 : x
  2. Step 2: Convert to fraction form
    71,640.72/107,461 = 24,893.60/x
  3. Step 3: Cross multiply
    71,640.72x = 107,461 × 24,893.60
  4. Step 4: Simplify right side
    71,640.72x = 2,675,091,149.60
  5. Step 5: Solve for x
    x = 2,675,091,149.60/71,640.72
  6. Step 6: Final answer
    x = 37,340.37

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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.