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Finding the Fourth Proportional to 71,503.79, 98,676.38 and 41,291.75

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Solution

The fourth proportional to 71,503.79, 98,676.38 and 41,291.75 is: 56,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.79 : 98,676.38 = 41,291.75 : x
  2. Step 2: Convert to fraction form
    71,503.79/98,676.38 = 41,291.75/x
  3. Step 3: Cross multiply
    71,503.79x = 98,676.38 × 41,291.75
  4. Step 4: Simplify right side
    71,503.79x = 4,074,520,413.87
  5. Step 5: Solve for x
    x = 4,074,520,413.87/71,503.79
  6. Step 6: Final answer
    x = 56,983.28

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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.