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Finding the Fourth Proportional to 43,676, 65,514.08 and 10,844

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Solution

The fourth proportional to 43,676, 65,514.08 and 10,844 is: 16,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676 : 65,514.08 = 10,844 : x
  2. Step 2: Convert to fraction form
    43,676/65,514.08 = 10,844/x
  3. Step 3: Cross multiply
    43,676x = 65,514.08 × 10,844
  4. Step 4: Simplify right side
    43,676x = 710,434,683.52
  5. Step 5: Solve for x
    x = 710,434,683.52/43,676
  6. Step 6: Final answer
    x = 16,266.02

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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.