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Finding the Fourth Proportional to 53,609.52, 80,392.68 and 16,158

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Solution

The fourth proportional to 53,609.52, 80,392.68 and 16,158 is: 24,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609.52 : 80,392.68 = 16,158 : x
  2. Step 2: Convert to fraction form
    53,609.52/80,392.68 = 16,158/x
  3. Step 3: Cross multiply
    53,609.52x = 80,392.68 × 16,158
  4. Step 4: Simplify right side
    53,609.52x = 1,298,984,923.44
  5. Step 5: Solve for x
    x = 1,298,984,923.44/53,609.52
  6. Step 6: Final answer
    x = 24,230.49

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