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Finding the Fourth Proportional to 34,613.52, 47,770.20 and 21,193.64

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Solution

The fourth proportional to 34,613.52, 47,770.20 and 21,193.64 is: 29,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,613.52 : 47,770.20 = 21,193.64 : x
  2. Step 2: Convert to fraction form
    34,613.52/47,770.20 = 21,193.64/x
  3. Step 3: Cross multiply
    34,613.52x = 47,770.20 × 21,193.64
  4. Step 4: Simplify right side
    34,613.52x = 1,012,424,421.53
  5. Step 5: Solve for x
    x = 1,012,424,421.53/34,613.52
  6. Step 6: Final answer
    x = 29,249.39

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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.