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Finding the Fourth Proportional to 43,789, 65,689.64 and 14,197.27

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Solution

The fourth proportional to 43,789, 65,689.64 and 14,197.27 is: 21,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789 : 65,689.64 = 14,197.27 : x
  2. Step 2: Convert to fraction form
    43,789/65,689.64 = 14,197.27/x
  3. Step 3: Cross multiply
    43,789x = 65,689.64 × 14,197.27
  4. Step 4: Simplify right side
    43,789x = 932,613,555.28
  5. Step 5: Solve for x
    x = 932,613,555.28/43,789
  6. Step 6: Final answer
    x = 21,297.90

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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.