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Finding the Fourth Proportional to 49,898.51, 68,858.22 and 29,745

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Solution

The fourth proportional to 49,898.51, 68,858.22 and 29,745 is: 41,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898.51 : 68,858.22 = 29,745 : x
  2. Step 2: Convert to fraction form
    49,898.51/68,858.22 = 29,745/x
  3. Step 3: Cross multiply
    49,898.51x = 68,858.22 × 29,745
  4. Step 4: Simplify right side
    49,898.51x = 2,048,187,753.90
  5. Step 5: Solve for x
    x = 2,048,187,753.90/49,898.51
  6. Step 6: Final answer
    x = 41,047.07

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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.