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Finding the Fourth Proportional to 38,658.20, 53,348.49 and 25,221.51

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Solution

The fourth proportional to 38,658.20, 53,348.49 and 25,221.51 is: 34,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.20 : 53,348.49 = 25,221.51 : x
  2. Step 2: Convert to fraction form
    38,658.20/53,348.49 = 25,221.51/x
  3. Step 3: Cross multiply
    38,658.20x = 53,348.49 × 25,221.51
  4. Step 4: Simplify right side
    38,658.20x = 1,345,529,474.02
  5. Step 5: Solve for x
    x = 1,345,529,474.02/38,658.20
  6. Step 6: Final answer
    x = 34,805.80

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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.