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Finding the Fourth Proportional to 48,893.50, 73,340.34 and 17,728.84

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Solution

The fourth proportional to 48,893.50, 73,340.34 and 17,728.84 is: 26,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893.50 : 73,340.34 = 17,728.84 : x
  2. Step 2: Convert to fraction form
    48,893.50/73,340.34 = 17,728.84/x
  3. Step 3: Cross multiply
    48,893.50x = 73,340.34 × 17,728.84
  4. Step 4: Simplify right side
    48,893.50x = 1,300,239,153.41
  5. Step 5: Solve for x
    x = 1,300,239,153.41/48,893.50
  6. Step 6: Final answer
    x = 26,593.29

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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.