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Finding the Fourth Proportional to 49,776.86, 74,620.47 and 18,164.86

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Solution

The fourth proportional to 49,776.86, 74,620.47 and 18,164.86 is: 27,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776.86 : 74,620.47 = 18,164.86 : x
  2. Step 2: Convert to fraction form
    49,776.86/74,620.47 = 18,164.86/x
  3. Step 3: Cross multiply
    49,776.86x = 74,620.47 × 18,164.86
  4. Step 4: Simplify right side
    49,776.86x = 1,355,470,390.68
  5. Step 5: Solve for x
    x = 1,355,470,390.68/49,776.86
  6. Step 6: Final answer
    x = 27,230.93

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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.