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Finding the Fourth Proportional to 39,458.88, 54,468.36 and 24,354

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Solution

The fourth proportional to 39,458.88, 54,468.36 and 24,354 is: 33,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458.88 : 54,468.36 = 24,354 : x
  2. Step 2: Convert to fraction form
    39,458.88/54,468.36 = 24,354/x
  3. Step 3: Cross multiply
    39,458.88x = 54,468.36 × 24,354
  4. Step 4: Simplify right side
    39,458.88x = 1,326,522,439.44
  5. Step 5: Solve for x
    x = 1,326,522,439.44/39,458.88
  6. Step 6: Final answer
    x = 33,617.84

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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.