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Finding the Fourth Proportional to 53,668.16, 80,490.72 and 33,668

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Solution

The fourth proportional to 53,668.16, 80,490.72 and 33,668 is: 50,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,668.16 : 80,490.72 = 33,668 : x
  2. Step 2: Convert to fraction form
    53,668.16/80,490.72 = 33,668/x
  3. Step 3: Cross multiply
    53,668.16x = 80,490.72 × 33,668
  4. Step 4: Simplify right side
    53,668.16x = 2,709,961,560.96
  5. Step 5: Solve for x
    x = 2,709,961,560.96/53,668.16
  6. Step 6: Final answer
    x = 50,494.77

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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.