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Finding the Fourth Proportional to 36,742, 50,708.22 and 20,613.76

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Solution

The fourth proportional to 36,742, 50,708.22 and 20,613.76 is: 28,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742 : 50,708.22 = 20,613.76 : x
  2. Step 2: Convert to fraction form
    36,742/50,708.22 = 20,613.76/x
  3. Step 3: Cross multiply
    36,742x = 50,708.22 × 20,613.76
  4. Step 4: Simplify right side
    36,742x = 1,045,287,077.11
  5. Step 5: Solve for x
    x = 1,045,287,077.11/36,742
  6. Step 6: Final answer
    x = 28,449.38

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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.