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Finding the Fourth Proportional to 29,668.52, 44,498.46 and 9,947

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Solution

The fourth proportional to 29,668.52, 44,498.46 and 9,947 is: 14,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.52 : 44,498.46 = 9,947 : x
  2. Step 2: Convert to fraction form
    29,668.52/44,498.46 = 9,947/x
  3. Step 3: Cross multiply
    29,668.52x = 44,498.46 × 9,947
  4. Step 4: Simplify right side
    29,668.52x = 442,626,181.62
  5. Step 5: Solve for x
    x = 442,626,181.62/29,668.52
  6. Step 6: Final answer
    x = 14,919.05

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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.