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Finding the Fourth Proportional to 31,628.40, 43,651.58 and 18,199.40

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Solution

The fourth proportional to 31,628.40, 43,651.58 and 18,199.40 is: 25,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628.40 : 43,651.58 = 18,199.40 : x
  2. Step 2: Convert to fraction form
    31,628.40/43,651.58 = 18,199.40/x
  3. Step 3: Cross multiply
    31,628.40x = 43,651.58 × 18,199.40
  4. Step 4: Simplify right side
    31,628.40x = 794,432,565.05
  5. Step 5: Solve for x
    x = 794,432,565.05/31,628.40
  6. Step 6: Final answer
    x = 25,117.70

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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.