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Finding the Fourth Proportional to 51,091.60, 76,632.84 and 17,806

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Solution

The fourth proportional to 51,091.60, 76,632.84 and 17,806 is: 26,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,091.60 : 76,632.84 = 17,806 : x
  2. Step 2: Convert to fraction form
    51,091.60/76,632.84 = 17,806/x
  3. Step 3: Cross multiply
    51,091.60x = 76,632.84 × 17,806
  4. Step 4: Simplify right side
    51,091.60x = 1,364,524,349.04
  5. Step 5: Solve for x
    x = 1,364,524,349.04/51,091.60
  6. Step 6: Final answer
    x = 26,707.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.