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Finding the Fourth Proportional to 30,741.66, 46,107.90 and 8,552.72

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Solution

The fourth proportional to 30,741.66, 46,107.90 and 8,552.72 is: 12,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.66 : 46,107.90 = 8,552.72 : x
  2. Step 2: Convert to fraction form
    30,741.66/46,107.90 = 8,552.72/x
  3. Step 3: Cross multiply
    30,741.66x = 46,107.90 × 8,552.72
  4. Step 4: Simplify right side
    30,741.66x = 394,348,073.76
  5. Step 5: Solve for x
    x = 394,348,073.76/30,741.66
  6. Step 6: Final answer
    x = 12,827.81

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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.