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Finding the Fourth Proportional to 30,950.84, 46,426.20 and 11,229.32

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Solution

The fourth proportional to 30,950.84, 46,426.20 and 11,229.32 is: 16,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.84 : 46,426.20 = 11,229.32 : x
  2. Step 2: Convert to fraction form
    30,950.84/46,426.20 = 11,229.32/x
  3. Step 3: Cross multiply
    30,950.84x = 46,426.20 × 11,229.32
  4. Step 4: Simplify right side
    30,950.84x = 521,334,656.18
  5. Step 5: Solve for x
    x = 521,334,656.18/30,950.84
  6. Step 6: Final answer
    x = 16,843.96

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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.