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Finding the Fourth Proportional to 71,383.68, 98,513.42 and 41,178.48

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Solution

The fourth proportional to 71,383.68, 98,513.42 and 41,178.48 is: 56,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.68 : 98,513.42 = 41,178.48 : x
  2. Step 2: Convert to fraction form
    71,383.68/98,513.42 = 41,178.48/x
  3. Step 3: Cross multiply
    71,383.68x = 98,513.42 × 41,178.48
  4. Step 4: Simplify right side
    71,383.68x = 4,056,632,319.88
  5. Step 5: Solve for x
    x = 4,056,632,319.88/71,383.68
  6. Step 6: Final answer
    x = 56,828.57

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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.