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Finding the Fourth Proportional to 29,680.80, 44,514 and 9,954.24

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Solution

The fourth proportional to 29,680.80, 44,514 and 9,954.24 is: 14,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680.80 : 44,514 = 9,954.24 : x
  2. Step 2: Convert to fraction form
    29,680.80/44,514 = 9,954.24/x
  3. Step 3: Cross multiply
    29,680.80x = 44,514 × 9,954.24
  4. Step 4: Simplify right side
    29,680.80x = 443,103,039.36
  5. Step 5: Solve for x
    x = 443,103,039.36/29,680.80
  6. Step 6: Final answer
    x = 14,928.95

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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.