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Finding the Fourth Proportional to 38,771.80, 53,505.57 and 22,855.30

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Solution

The fourth proportional to 38,771.80, 53,505.57 and 22,855.30 is: 31,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,771.80 : 53,505.57 = 22,855.30 : x
  2. Step 2: Convert to fraction form
    38,771.80/53,505.57 = 22,855.30/x
  3. Step 3: Cross multiply
    38,771.80x = 53,505.57 × 22,855.30
  4. Step 4: Simplify right side
    38,771.80x = 1,222,885,854.02
  5. Step 5: Solve for x
    x = 1,222,885,854.02/38,771.80
  6. Step 6: Final answer
    x = 31,540.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.