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Finding the Fourth Proportional to 51,891.14, 77,847.65 and 16,828.06

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Solution

The fourth proportional to 51,891.14, 77,847.65 and 16,828.06 is: 25,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.14 : 77,847.65 = 16,828.06 : x
  2. Step 2: Convert to fraction form
    51,891.14/77,847.65 = 16,828.06/x
  3. Step 3: Cross multiply
    51,891.14x = 77,847.65 × 16,828.06
  4. Step 4: Simplify right side
    51,891.14x = 1,310,024,925.06
  5. Step 5: Solve for x
    x = 1,310,024,925.06/51,891.14
  6. Step 6: Final answer
    x = 25,245.64

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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.