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Finding the Fourth Proportional to 51,165.08, 76,742.76 and 17,879

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Solution

The fourth proportional to 51,165.08, 76,742.76 and 17,879 is: 26,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165.08 : 76,742.76 = 17,879 : x
  2. Step 2: Convert to fraction form
    51,165.08/76,742.76 = 17,879/x
  3. Step 3: Cross multiply
    51,165.08x = 76,742.76 × 17,879
  4. Step 4: Simplify right side
    51,165.08x = 1,372,083,806.04
  5. Step 5: Solve for x
    x = 1,372,083,806.04/51,165.08
  6. Step 6: Final answer
    x = 26,816.80

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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.