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Finding the Fourth Proportional to 49,024.84, 73,472.46 and 17,830.12

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Solution

The fourth proportional to 49,024.84, 73,472.46 and 17,830.12 is: 26,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,024.84 : 73,472.46 = 17,830.12 : x
  2. Step 2: Convert to fraction form
    49,024.84/73,472.46 = 17,830.12/x
  3. Step 3: Cross multiply
    49,024.84x = 73,472.46 × 17,830.12
  4. Step 4: Simplify right side
    49,024.84x = 1,310,022,778.50
  5. Step 5: Solve for x
    x = 1,310,022,778.50/49,024.84
  6. Step 6: Final answer
    x = 26,721.61

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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.