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Finding the Fourth Proportional to 48,674.71, 73,023.81 and 13,613.86

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Solution

The fourth proportional to 48,674.71, 73,023.81 and 13,613.86 is: 20,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674.71 : 73,023.81 = 13,613.86 : x
  2. Step 2: Convert to fraction form
    48,674.71/73,023.81 = 13,613.86/x
  3. Step 3: Cross multiply
    48,674.71x = 73,023.81 × 13,613.86
  4. Step 4: Simplify right side
    48,674.71x = 994,135,926.01
  5. Step 5: Solve for x
    x = 994,135,926.01/48,674.71
  6. Step 6: Final answer
    x = 20,424.07

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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.