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Finding the Fourth Proportional to 53,475.80, 80,213.48 and 13,494.88

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Solution

The fourth proportional to 53,475.80, 80,213.48 and 13,494.88 is: 20,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,475.80 : 80,213.48 = 13,494.88 : x
  2. Step 2: Convert to fraction form
    53,475.80/80,213.48 = 13,494.88/x
  3. Step 3: Cross multiply
    53,475.80x = 80,213.48 × 13,494.88
  4. Step 4: Simplify right side
    53,475.80x = 1,082,471,120.19
  5. Step 5: Solve for x
    x = 1,082,471,120.19/53,475.80
  6. Step 6: Final answer
    x = 20,242.26

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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.