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Finding the Fourth Proportional to 53,784, 80,680.26 and 16,347.32

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Solution

The fourth proportional to 53,784, 80,680.26 and 16,347.32 is: 24,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 80,680.26 = 16,347.32 : x
  2. Step 2: Convert to fraction form
    53,784/80,680.26 = 16,347.32/x
  3. Step 3: Cross multiply
    53,784x = 80,680.26 × 16,347.32
  4. Step 4: Simplify right side
    53,784x = 1,318,906,027.90
  5. Step 5: Solve for x
    x = 1,318,906,027.90/53,784
  6. Step 6: Final answer
    x = 24,522.27

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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.