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Finding the Fourth Proportional to 33,105, 49,657.50 and 9,730.92

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Solution

The fourth proportional to 33,105, 49,657.50 and 9,730.92 is: 14,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105 : 49,657.50 = 9,730.92 : x
  2. Step 2: Convert to fraction form
    33,105/49,657.50 = 9,730.92/x
  3. Step 3: Cross multiply
    33,105x = 49,657.50 × 9,730.92
  4. Step 4: Simplify right side
    33,105x = 483,213,159.90
  5. Step 5: Solve for x
    x = 483,213,159.90/33,105
  6. Step 6: Final answer
    x = 14,596.38

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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.