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Finding the Fourth Proportional to 74,636.80, 111,922.80 and 24,697.60

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Solution

The fourth proportional to 74,636.80, 111,922.80 and 24,697.60 is: 37,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,636.80 : 111,922.80 = 24,697.60 : x
  2. Step 2: Convert to fraction form
    74,636.80/111,922.80 = 24,697.60/x
  3. Step 3: Cross multiply
    74,636.80x = 111,922.80 × 24,697.60
  4. Step 4: Simplify right side
    74,636.80x = 2,764,224,545.28
  5. Step 5: Solve for x
    x = 2,764,224,545.28/74,636.80
  6. Step 6: Final answer
    x = 37,035.68

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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.