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Finding the Fourth Proportional to 76,205.38, 105,214.77 and 47,568.64

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Solution

The fourth proportional to 76,205.38, 105,214.77 and 47,568.64 is: 65,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.38 : 105,214.77 = 47,568.64 : x
  2. Step 2: Convert to fraction form
    76,205.38/105,214.77 = 47,568.64/x
  3. Step 3: Cross multiply
    76,205.38x = 105,214.77 × 47,568.64
  4. Step 4: Simplify right side
    76,205.38x = 5,004,923,516.81
  5. Step 5: Solve for x
    x = 5,004,923,516.81/76,205.38
  6. Step 6: Final answer
    x = 65,676.77

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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.