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Finding the Fourth Proportional to 76,203.91, 114,379.67 and 36,788.70

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Solution

The fourth proportional to 76,203.91, 114,379.67 and 36,788.70 is: 55,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.91 : 114,379.67 = 36,788.70 : x
  2. Step 2: Convert to fraction form
    76,203.91/114,379.67 = 36,788.70/x
  3. Step 3: Cross multiply
    76,203.91x = 114,379.67 × 36,788.70
  4. Step 4: Simplify right side
    76,203.91x = 4,207,879,365.73
  5. Step 5: Solve for x
    x = 4,207,879,365.73/76,203.91
  6. Step 6: Final answer
    x = 55,218.68

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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.