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Finding the Fourth Proportional to 51,449.70, 77,180.09 and 16,381.16

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Solution

The fourth proportional to 51,449.70, 77,180.09 and 16,381.16 is: 24,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,449.70 : 77,180.09 = 16,381.16 : x
  2. Step 2: Convert to fraction form
    51,449.70/77,180.09 = 16,381.16/x
  3. Step 3: Cross multiply
    51,449.70x = 77,180.09 × 16,381.16
  4. Step 4: Simplify right side
    51,449.70x = 1,264,298,935.30
  5. Step 5: Solve for x
    x = 1,264,298,935.30/51,449.70
  6. Step 6: Final answer
    x = 24,573.49

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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.