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Finding the Fourth Proportional to 53,769.28, 80,654.04 and 16,329.64

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Solution

The fourth proportional to 53,769.28, 80,654.04 and 16,329.64 is: 24,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769.28 : 80,654.04 = 16,329.64 : x
  2. Step 2: Convert to fraction form
    53,769.28/80,654.04 = 16,329.64/x
  3. Step 3: Cross multiply
    53,769.28x = 80,654.04 × 16,329.64
  4. Step 4: Simplify right side
    53,769.28x = 1,317,051,437.75
  5. Step 5: Solve for x
    x = 1,317,051,437.75/53,769.28
  6. Step 6: Final answer
    x = 24,494.50

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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.