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Finding the Fourth Proportional to 34,924.80, 48,257.60 and 27,909.12

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Solution

The fourth proportional to 34,924.80, 48,257.60 and 27,909.12 is: 38,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,924.80 : 48,257.60 = 27,909.12 : x
  2. Step 2: Convert to fraction form
    34,924.80/48,257.60 = 27,909.12/x
  3. Step 3: Cross multiply
    34,924.80x = 48,257.60 × 27,909.12
  4. Step 4: Simplify right side
    34,924.80x = 1,346,827,149.31
  5. Step 5: Solve for x
    x = 1,346,827,149.31/34,924.80
  6. Step 6: Final answer
    x = 38,563.63

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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.