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Finding the Fourth Proportional to 53,847.64, 74,310.45 and 29,651.44

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Solution

The fourth proportional to 53,847.64, 74,310.45 and 29,651.44 is: 40,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847.64 : 74,310.45 = 29,651.44 : x
  2. Step 2: Convert to fraction form
    53,847.64/74,310.45 = 29,651.44/x
  3. Step 3: Cross multiply
    53,847.64x = 74,310.45 × 29,651.44
  4. Step 4: Simplify right side
    53,847.64x = 2,203,411,849.55
  5. Step 5: Solve for x
    x = 2,203,411,849.55/53,847.64
  6. Step 6: Final answer
    x = 40,919.38

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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.