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Finding the Fourth Proportional to 71,305.84, 98,401.80 and 41,096.49

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Solution

The fourth proportional to 71,305.84, 98,401.80 and 41,096.49 is: 56,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.84 : 98,401.80 = 41,096.49 : x
  2. Step 2: Convert to fraction form
    71,305.84/98,401.80 = 41,096.49/x
  3. Step 3: Cross multiply
    71,305.84x = 98,401.80 × 41,096.49
  4. Step 4: Simplify right side
    71,305.84x = 4,043,968,589.68
  5. Step 5: Solve for x
    x = 4,043,968,589.68/71,305.84
  6. Step 6: Final answer
    x = 56,713.01

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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.