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Finding the Fourth Proportional to 30,927.49, 46,415.82 and 11,211.68

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Solution

The fourth proportional to 30,927.49, 46,415.82 and 11,211.68 is: 16,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,927.49 : 46,415.82 = 11,211.68 : x
  2. Step 2: Convert to fraction form
    30,927.49/46,415.82 = 11,211.68/x
  3. Step 3: Cross multiply
    30,927.49x = 46,415.82 × 11,211.68
  4. Step 4: Simplify right side
    30,927.49x = 520,399,320.78
  5. Step 5: Solve for x
    x = 520,399,320.78/30,927.49
  6. Step 6: Final answer
    x = 16,826.44

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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.