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Finding the Fourth Proportional to 29,672.10, 44,514.23 and 9,964.80

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Solution

The fourth proportional to 29,672.10, 44,514.23 and 9,964.80 is: 14,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.10 : 44,514.23 = 9,964.80 : x
  2. Step 2: Convert to fraction form
    29,672.10/44,514.23 = 9,964.80/x
  3. Step 3: Cross multiply
    29,672.10x = 44,514.23 × 9,964.80
  4. Step 4: Simplify right side
    29,672.10x = 443,575,349.28
  5. Step 5: Solve for x
    x = 443,575,349.28/29,672.10
  6. Step 6: Final answer
    x = 14,949.24

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1.5x scale

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.