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Finding the Fourth Proportional to 73,817.70, 110,744.12 and 23,897.80

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Solution

The fourth proportional to 73,817.70, 110,744.12 and 23,897.80 is: 35,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,817.70 : 110,744.12 = 23,897.80 : x
  2. Step 2: Convert to fraction form
    73,817.70/110,744.12 = 23,897.80/x
  3. Step 3: Cross multiply
    73,817.70x = 110,744.12 × 23,897.80
  4. Step 4: Simplify right side
    73,817.70x = 2,646,540,830.94
  5. Step 5: Solve for x
    x = 2,646,540,830.94/73,817.70
  6. Step 6: Final answer
    x = 35,852.39

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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.