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Finding the Fourth Proportional to 73,677.60, 110,489.40 and 23,770.80

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Solution

The fourth proportional to 73,677.60, 110,489.40 and 23,770.80 is: 35,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,677.60 : 110,489.40 = 23,770.80 : x
  2. Step 2: Convert to fraction form
    73,677.60/110,489.40 = 23,770.80/x
  3. Step 3: Cross multiply
    73,677.60x = 110,489.40 × 23,770.80
  4. Step 4: Simplify right side
    73,677.60x = 2,626,421,429.52
  5. Step 5: Solve for x
    x = 2,626,421,429.52/73,677.60
  6. Step 6: Final answer
    x = 35,647.49

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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.