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Finding the Fourth Proportional to 51,933.72, 77,933.68 and 18,653.08

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Solution

The fourth proportional to 51,933.72, 77,933.68 and 18,653.08 is: 27,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933.72 : 77,933.68 = 18,653.08 : x
  2. Step 2: Convert to fraction form
    51,933.72/77,933.68 = 18,653.08/x
  3. Step 3: Cross multiply
    51,933.72x = 77,933.68 × 18,653.08
  4. Step 4: Simplify right side
    51,933.72x = 1,453,703,167.73
  5. Step 5: Solve for x
    x = 1,453,703,167.73/51,933.72
  6. Step 6: Final answer
    x = 27,991.51

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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.