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Finding the Fourth Proportional to 76,289.62, 114,446.69 and 36,849.71

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Solution

The fourth proportional to 76,289.62, 114,446.69 and 36,849.71 is: 55,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,289.62 : 114,446.69 = 36,849.71 : x
  2. Step 2: Convert to fraction form
    76,289.62/114,446.69 = 36,849.71/x
  3. Step 3: Cross multiply
    76,289.62x = 114,446.69 × 36,849.71
  4. Step 4: Simplify right side
    76,289.62x = 4,217,327,336.96
  5. Step 5: Solve for x
    x = 4,217,327,336.96/76,289.62
  6. Step 6: Final answer
    x = 55,280.49

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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.