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Finding the Fourth Proportional to 76,589.52, 114,962.04 and 48,440.40

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Solution

The fourth proportional to 76,589.52, 114,962.04 and 48,440.40 is: 72,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.52 : 114,962.04 = 48,440.40 : x
  2. Step 2: Convert to fraction form
    76,589.52/114,962.04 = 48,440.40/x
  3. Step 3: Cross multiply
    76,589.52x = 114,962.04 × 48,440.40
  4. Step 4: Simplify right side
    76,589.52x = 5,568,807,202.42
  5. Step 5: Solve for x
    x = 5,568,807,202.42/76,589.52
  6. Step 6: Final answer
    x = 72,709.78

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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.