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Finding the Fourth Proportional to 49,300.70, 73,961.86 and 16,024.28

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Solution

The fourth proportional to 49,300.70, 73,961.86 and 16,024.28 is: 24,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,300.70 : 73,961.86 = 16,024.28 : x
  2. Step 2: Convert to fraction form
    49,300.70/73,961.86 = 16,024.28/x
  3. Step 3: Cross multiply
    49,300.70x = 73,961.86 × 16,024.28
  4. Step 4: Simplify right side
    49,300.70x = 1,185,185,553.96
  5. Step 5: Solve for x
    x = 1,185,185,553.96/49,300.70
  6. Step 6: Final answer
    x = 24,039.93

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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.