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Finding the Fourth Proportional to 48,667.86, 73,004.85 and 20,582.64

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Solution

The fourth proportional to 48,667.86, 73,004.85 and 20,582.64 is: 30,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,667.86 : 73,004.85 = 20,582.64 : x
  2. Step 2: Convert to fraction form
    48,667.86/73,004.85 = 20,582.64/x
  3. Step 3: Cross multiply
    48,667.86x = 73,004.85 × 20,582.64
  4. Step 4: Simplify right side
    48,667.86x = 1,502,632,545.80
  5. Step 5: Solve for x
    x = 1,502,632,545.80/48,667.86
  6. Step 6: Final answer
    x = 30,875.25

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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.