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Finding the Fourth Proportional to 53,713.80, 80,546.40 and 24,116.40

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Solution

The fourth proportional to 53,713.80, 80,546.40 and 24,116.40 is: 36,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.80 : 80,546.40 = 24,116.40 : x
  2. Step 2: Convert to fraction form
    53,713.80/80,546.40 = 24,116.40/x
  3. Step 3: Cross multiply
    53,713.80x = 80,546.40 × 24,116.40
  4. Step 4: Simplify right side
    53,713.80x = 1,942,489,200.96
  5. Step 5: Solve for x
    x = 1,942,489,200.96/53,713.80
  6. Step 6: Final answer
    x = 36,163.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.