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Finding the Fourth Proportional to 76,586.96, 114,880.53 and 37,149.86

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Solution

The fourth proportional to 76,586.96, 114,880.53 and 37,149.86 is: 55,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,586.96 : 114,880.53 = 37,149.86 : x
  2. Step 2: Convert to fraction form
    76,586.96/114,880.53 = 37,149.86/x
  3. Step 3: Cross multiply
    76,586.96x = 114,880.53 × 37,149.86
  4. Step 4: Simplify right side
    76,586.96x = 4,267,795,606.23
  5. Step 5: Solve for x
    x = 4,267,795,606.23/76,586.96
  6. Step 6: Final answer
    x = 55,724.83

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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.