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Finding the Fourth Proportional to 51,509.44, 77,227.68 and 26,538.72

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Solution

The fourth proportional to 51,509.44, 77,227.68 and 26,538.72 is: 39,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509.44 : 77,227.68 = 26,538.72 : x
  2. Step 2: Convert to fraction form
    51,509.44/77,227.68 = 26,538.72/x
  3. Step 3: Cross multiply
    51,509.44x = 77,227.68 × 26,538.72
  4. Step 4: Simplify right side
    51,509.44x = 2,049,523,775.77
  5. Step 5: Solve for x
    x = 2,049,523,775.77/51,509.44
  6. Step 6: Final answer
    x = 39,789.28

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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.