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Finding the Fourth Proportional to 30,846.88, 46,262.22 and 11,121.76

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Solution

The fourth proportional to 30,846.88, 46,262.22 and 11,121.76 is: 16,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.88 : 46,262.22 = 11,121.76 : x
  2. Step 2: Convert to fraction form
    30,846.88/46,262.22 = 11,121.76/x
  3. Step 3: Cross multiply
    30,846.88x = 46,262.22 × 11,121.76
  4. Step 4: Simplify right side
    30,846.88x = 514,517,307.91
  5. Step 5: Solve for x
    x = 514,517,307.91/30,846.88
  6. Step 6: Final answer
    x = 16,679.72

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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.