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Finding the Fourth Proportional to 51,252.80, 76,897.92 and 20,109.44

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Solution

The fourth proportional to 51,252.80, 76,897.92 and 20,109.44 is: 30,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252.80 : 76,897.92 = 20,109.44 : x
  2. Step 2: Convert to fraction form
    51,252.80/76,897.92 = 20,109.44/x
  3. Step 3: Cross multiply
    51,252.80x = 76,897.92 × 20,109.44
  4. Step 4: Simplify right side
    51,252.80x = 1,546,374,108.36
  5. Step 5: Solve for x
    x = 1,546,374,108.36/51,252.80
  6. Step 6: Final answer
    x = 30,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.