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Finding the Fourth Proportional to 49,119.01, 67,784.24 and 27,898.22

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Solution

The fourth proportional to 49,119.01, 67,784.24 and 27,898.22 is: 38,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,119.01 : 67,784.24 = 27,898.22 : x
  2. Step 2: Convert to fraction form
    49,119.01/67,784.24 = 27,898.22/x
  3. Step 3: Cross multiply
    49,119.01x = 67,784.24 × 27,898.22
  4. Step 4: Simplify right side
    49,119.01x = 1,891,059,640.05
  5. Step 5: Solve for x
    x = 1,891,059,640.05/49,119.01
  6. Step 6: Final answer
    x = 38,499.55

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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.