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Finding the Fourth Proportional to 29,698.82, 44,543.91 and 11,226.50

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Solution

The fourth proportional to 29,698.82, 44,543.91 and 11,226.50 is: 16,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.82 : 44,543.91 = 11,226.50 : x
  2. Step 2: Convert to fraction form
    29,698.82/44,543.91 = 11,226.50/x
  3. Step 3: Cross multiply
    29,698.82x = 44,543.91 × 11,226.50
  4. Step 4: Simplify right side
    29,698.82x = 500,072,205.62
  5. Step 5: Solve for x
    x = 500,072,205.62/29,698.82
  6. Step 6: Final answer
    x = 16,838.12

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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.