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Finding the Fourth Proportional to 83,072.69, 124,640.17 and 49,816.62

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Solution

The fourth proportional to 83,072.69, 124,640.17 and 49,816.62 is: 74,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072.69 : 124,640.17 = 49,816.62 : x
  2. Step 2: Convert to fraction form
    83,072.69/124,640.17 = 49,816.62/x
  3. Step 3: Cross multiply
    83,072.69x = 124,640.17 × 49,816.62
  4. Step 4: Simplify right side
    83,072.69x = 6,209,151,861.08
  5. Step 5: Solve for x
    x = 6,209,151,861.08/83,072.69
  6. Step 6: Final answer
    x = 74,743.60

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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.