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Finding the Fourth Proportional to 51,166.08, 76,744.26 and 17,880

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Solution

The fourth proportional to 51,166.08, 76,744.26 and 17,880 is: 26,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166.08 : 76,744.26 = 17,880 : x
  2. Step 2: Convert to fraction form
    51,166.08/76,744.26 = 17,880/x
  3. Step 3: Cross multiply
    51,166.08x = 76,744.26 × 17,880
  4. Step 4: Simplify right side
    51,166.08x = 1,372,187,368.80
  5. Step 5: Solve for x
    x = 1,372,187,368.80/51,166.08
  6. Step 6: Final answer
    x = 26,818.30

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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.