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Finding the Fourth Proportional to 53,833.94, 80,755.02 and 16,397.20

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Solution

The fourth proportional to 53,833.94, 80,755.02 and 16,397.20 is: 24,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,833.94 : 80,755.02 = 16,397.20 : x
  2. Step 2: Convert to fraction form
    53,833.94/80,755.02 = 16,397.20/x
  3. Step 3: Cross multiply
    53,833.94x = 80,755.02 × 16,397.20
  4. Step 4: Simplify right side
    53,833.94x = 1,324,156,213.94
  5. Step 5: Solve for x
    x = 1,324,156,213.94/53,833.94
  6. Step 6: Final answer
    x = 24,597.05

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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.