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Finding the Fourth Proportional to 71,414.79, 98,551.65 and 41,199.75

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Solution

The fourth proportional to 71,414.79, 98,551.65 and 41,199.75 is: 56,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.79 : 98,551.65 = 41,199.75 : x
  2. Step 2: Convert to fraction form
    71,414.79/98,551.65 = 41,199.75/x
  3. Step 3: Cross multiply
    71,414.79x = 98,551.65 × 41,199.75
  4. Step 4: Simplify right side
    71,414.79x = 4,060,303,342.09
  5. Step 5: Solve for x
    x = 4,060,303,342.09/71,414.79
  6. Step 6: Final answer
    x = 56,855.22

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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.