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Finding the Fourth Proportional to 49,225.70, 67,930.86 and 28,004.92

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Solution

The fourth proportional to 49,225.70, 67,930.86 and 28,004.92 is: 38,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,225.70 : 67,930.86 = 28,004.92 : x
  2. Step 2: Convert to fraction form
    49,225.70/67,930.86 = 28,004.92/x
  3. Step 3: Cross multiply
    49,225.70x = 67,930.86 × 28,004.92
  4. Step 4: Simplify right side
    49,225.70x = 1,902,398,299.83
  5. Step 5: Solve for x
    x = 1,902,398,299.83/49,225.70
  6. Step 6: Final answer
    x = 38,646.44

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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.