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Finding the Fourth Proportional to 57,842.20, 79,813.24 and 33,648.49

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Solution

The fourth proportional to 57,842.20, 79,813.24 and 33,648.49 is: 46,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.20 : 79,813.24 = 33,648.49 : x
  2. Step 2: Convert to fraction form
    57,842.20/79,813.24 = 33,648.49/x
  3. Step 3: Cross multiply
    57,842.20x = 79,813.24 × 33,648.49
  4. Step 4: Simplify right side
    57,842.20x = 2,685,595,008.01
  5. Step 5: Solve for x
    x = 2,685,595,008.01/57,842.20
  6. Step 6: Final answer
    x = 46,429.68

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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.