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Finding the Fourth Proportional to 71,490.75, 98,665.74 and 41,283.42

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Solution

The fourth proportional to 71,490.75, 98,665.74 and 41,283.42 is: 56,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490.75 : 98,665.74 = 41,283.42 : x
  2. Step 2: Convert to fraction form
    71,490.75/98,665.74 = 41,283.42/x
  3. Step 3: Cross multiply
    71,490.75x = 98,665.74 × 41,283.42
  4. Step 4: Simplify right side
    71,490.75x = 4,073,259,184.03
  5. Step 5: Solve for x
    x = 4,073,259,184.03/71,490.75
  6. Step 6: Final answer
    x = 56,976.03

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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.