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Finding the Fourth Proportional to 38,800.72, 58,203.24 and 11,098

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Solution

The fourth proportional to 38,800.72, 58,203.24 and 11,098 is: 16,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800.72 : 58,203.24 = 11,098 : x
  2. Step 2: Convert to fraction form
    38,800.72/58,203.24 = 11,098/x
  3. Step 3: Cross multiply
    38,800.72x = 58,203.24 × 11,098
  4. Step 4: Simplify right side
    38,800.72x = 645,939,557.52
  5. Step 5: Solve for x
    x = 645,939,557.52/38,800.72
  6. Step 6: Final answer
    x = 16,647.62

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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.