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Finding the Fourth Proportional to 30,950.96, 46,426.36 and 11,229.48

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Solution

The fourth proportional to 30,950.96, 46,426.36 and 11,229.48 is: 16,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.96 : 46,426.36 = 11,229.48 : x
  2. Step 2: Convert to fraction form
    30,950.96/46,426.36 = 11,229.48/x
  3. Step 3: Cross multiply
    30,950.96x = 46,426.36 × 11,229.48
  4. Step 4: Simplify right side
    30,950.96x = 521,343,881.09
  5. Step 5: Solve for x
    x = 521,343,881.09/30,950.96
  6. Step 6: Final answer
    x = 16,844.19

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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.