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Finding the Fourth Proportional to 49,989, 68,984.90 and 27,633

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Solution

The fourth proportional to 49,989, 68,984.90 and 27,633 is: 38,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,989 : 68,984.90 = 27,633 : x
  2. Step 2: Convert to fraction form
    49,989/68,984.90 = 27,633/x
  3. Step 3: Cross multiply
    49,989x = 68,984.90 × 27,633
  4. Step 4: Simplify right side
    49,989x = 1,906,259,741.70
  5. Step 5: Solve for x
    x = 1,906,259,741.70/49,989
  6. Step 6: Final answer
    x = 38,133.58

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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.