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Finding the Fourth Proportional to 48,662.57, 73,003.68 and 20,582.71

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Solution

The fourth proportional to 48,662.57, 73,003.68 and 20,582.71 is: 30,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,662.57 : 73,003.68 = 20,582.71 : x
  2. Step 2: Convert to fraction form
    48,662.57/73,003.68 = 20,582.71/x
  3. Step 3: Cross multiply
    48,662.57x = 73,003.68 × 20,582.71
  4. Step 4: Simplify right side
    48,662.57x = 1,502,613,391.86
  5. Step 5: Solve for x
    x = 1,502,613,391.86/48,662.57
  6. Step 6: Final answer
    x = 30,878.22

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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.