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Finding the Fourth Proportional to 49,214.50, 67,919.64 and 28,000.60

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Solution

The fourth proportional to 49,214.50, 67,919.64 and 28,000.60 is: 38,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214.50 : 67,919.64 = 28,000.60 : x
  2. Step 2: Convert to fraction form
    49,214.50/67,919.64 = 28,000.60/x
  3. Step 3: Cross multiply
    49,214.50x = 67,919.64 × 28,000.60
  4. Step 4: Simplify right side
    49,214.50x = 1,901,790,671.78
  5. Step 5: Solve for x
    x = 1,901,790,671.78/49,214.50
  6. Step 6: Final answer
    x = 38,642.89

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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.