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Finding the Fourth Proportional to 52,646.82, 72,651.48 and 29,676.48

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Solution

The fourth proportional to 52,646.82, 72,651.48 and 29,676.48 is: 40,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646.82 : 72,651.48 = 29,676.48 : x
  2. Step 2: Convert to fraction form
    52,646.82/72,651.48 = 29,676.48/x
  3. Step 3: Cross multiply
    52,646.82x = 72,651.48 × 29,676.48
  4. Step 4: Simplify right side
    52,646.82x = 2,156,040,193.19
  5. Step 5: Solve for x
    x = 2,156,040,193.19/52,646.82
  6. Step 6: Final answer
    x = 40,952.90

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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.