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Finding the Fourth Proportional to 53,771.28, 80,657.04 and 16,331.64

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Solution

The fourth proportional to 53,771.28, 80,657.04 and 16,331.64 is: 24,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,771.28 : 80,657.04 = 16,331.64 : x
  2. Step 2: Convert to fraction form
    53,771.28/80,657.04 = 16,331.64/x
  3. Step 3: Cross multiply
    53,771.28x = 80,657.04 × 16,331.64
  4. Step 4: Simplify right side
    53,771.28x = 1,317,261,740.75
  5. Step 5: Solve for x
    x = 1,317,261,740.75/53,771.28
  6. Step 6: Final answer
    x = 24,497.50

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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.