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Finding the Fourth Proportional to 32,177.68, 44,406.40 and 18,030

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Solution

The fourth proportional to 32,177.68, 44,406.40 and 18,030 is: 24,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.68 : 44,406.40 = 18,030 : x
  2. Step 2: Convert to fraction form
    32,177.68/44,406.40 = 18,030/x
  3. Step 3: Cross multiply
    32,177.68x = 44,406.40 × 18,030
  4. Step 4: Simplify right side
    32,177.68x = 800,647,392
  5. Step 5: Solve for x
    x = 800,647,392/32,177.68
  6. Step 6: Final answer
    x = 24,882.07

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