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Finding the Fourth Proportional to 76,336.38, 105,344.20 and 44,499.12

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Solution

The fourth proportional to 76,336.38, 105,344.20 and 44,499.12 is: 61,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,336.38 : 105,344.20 = 44,499.12 : x
  2. Step 2: Convert to fraction form
    76,336.38/105,344.20 = 44,499.12/x
  3. Step 3: Cross multiply
    76,336.38x = 105,344.20 × 44,499.12
  4. Step 4: Simplify right side
    76,336.38x = 4,687,724,197.10
  5. Step 5: Solve for x
    x = 4,687,724,197.10/76,336.38
  6. Step 6: Final answer
    x = 61,408.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.