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Finding the Fourth Proportional to 36,697.60, 50,614.50 and 24,742

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Solution

The fourth proportional to 36,697.60, 50,614.50 and 24,742 is: 34,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,697.60 : 50,614.50 = 24,742 : x
  2. Step 2: Convert to fraction form
    36,697.60/50,614.50 = 24,742/x
  3. Step 3: Cross multiply
    36,697.60x = 50,614.50 × 24,742
  4. Step 4: Simplify right side
    36,697.60x = 1,252,303,959
  5. Step 5: Solve for x
    x = 1,252,303,959/36,697.60
  6. Step 6: Final answer
    x = 34,124.96

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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.