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Finding the Fourth Proportional to 71,474.40, 98,647.74 and 41,255.60

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Solution

The fourth proportional to 71,474.40, 98,647.74 and 41,255.60 is: 56,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474.40 : 98,647.74 = 41,255.60 : x
  2. Step 2: Convert to fraction form
    71,474.40/98,647.74 = 41,255.60/x
  3. Step 3: Cross multiply
    71,474.40x = 98,647.74 × 41,255.60
  4. Step 4: Simplify right side
    71,474.40x = 4,069,771,209.11
  5. Step 5: Solve for x
    x = 4,069,771,209.11/71,474.40
  6. Step 6: Final answer
    x = 56,940.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.