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Finding the Fourth Proportional to 49,151.14, 67,830.18 and 27,644.62

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Solution

The fourth proportional to 49,151.14, 67,830.18 and 27,644.62 is: 38,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,151.14 : 67,830.18 = 27,644.62 : x
  2. Step 2: Convert to fraction form
    49,151.14/67,830.18 = 27,644.62/x
  3. Step 3: Cross multiply
    49,151.14x = 67,830.18 × 27,644.62
  4. Step 4: Simplify right side
    49,151.14x = 1,875,139,550.63
  5. Step 5: Solve for x
    x = 1,875,139,550.63/49,151.14
  6. Step 6: Final answer
    x = 38,150.48

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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.