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Finding the Fourth Proportional to 76,391.44, 114,590.23 and 36,389.86

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Solution

The fourth proportional to 76,391.44, 114,590.23 and 36,389.86 is: 54,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.44 : 114,590.23 = 36,389.86 : x
  2. Step 2: Convert to fraction form
    76,391.44/114,590.23 = 36,389.86/x
  3. Step 3: Cross multiply
    76,391.44x = 114,590.23 × 36,389.86
  4. Step 4: Simplify right side
    76,391.44x = 4,169,922,049.62
  5. Step 5: Solve for x
    x = 4,169,922,049.62/76,391.44
  6. Step 6: Final answer
    x = 54,586.25

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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.