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Finding the Fourth Proportional to 35,843.55, 53,771.82 and 14,771.88

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Solution

The fourth proportional to 35,843.55, 53,771.82 and 14,771.88 is: 22,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.55 : 53,771.82 = 14,771.88 : x
  2. Step 2: Convert to fraction form
    35,843.55/53,771.82 = 14,771.88/x
  3. Step 3: Cross multiply
    35,843.55x = 53,771.82 × 14,771.88
  4. Step 4: Simplify right side
    35,843.55x = 794,310,872.42
  5. Step 5: Solve for x
    x = 794,310,872.42/35,843.55
  6. Step 6: Final answer
    x = 22,160.50

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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.