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Finding the Fourth Proportional to 33,174, 49,761 and 9,800.10

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Solution

The fourth proportional to 33,174, 49,761 and 9,800.10 is: 14,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 49,761 = 9,800.10 : x
  2. Step 2: Convert to fraction form
    33,174/49,761 = 9,800.10/x
  3. Step 3: Cross multiply
    33,174x = 49,761 × 9,800.10
  4. Step 4: Simplify right side
    33,174x = 487,662,776.10
  5. Step 5: Solve for x
    x = 487,662,776.10/33,174
  6. Step 6: Final answer
    x = 14,700.15

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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.