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Finding the Fourth Proportional to 32,266.40, 44,524.56 and 18,116

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Solution

The fourth proportional to 32,266.40, 44,524.56 and 18,116 is: 24,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.40 : 44,524.56 = 18,116 : x
  2. Step 2: Convert to fraction form
    32,266.40/44,524.56 = 18,116/x
  3. Step 3: Cross multiply
    32,266.40x = 44,524.56 × 18,116
  4. Step 4: Simplify right side
    32,266.40x = 806,606,928.96
  5. Step 5: Solve for x
    x = 806,606,928.96/32,266.40
  6. Step 6: Final answer
    x = 24,998.36

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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.