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Finding the Fourth Proportional to 32,262.15, 44,514.49 and 18,114.06

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Solution

The fourth proportional to 32,262.15, 44,514.49 and 18,114.06 is: 24,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262.15 : 44,514.49 = 18,114.06 : x
  2. Step 2: Convert to fraction form
    32,262.15/44,514.49 = 18,114.06/x
  3. Step 3: Cross multiply
    32,262.15x = 44,514.49 × 18,114.06
  4. Step 4: Simplify right side
    32,262.15x = 806,338,142.73
  5. Step 5: Solve for x
    x = 806,338,142.73/32,262.15
  6. Step 6: Final answer
    x = 24,993.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.