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Finding the Fourth Proportional to 30,778.56, 46,168.29 and 9,717.75

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Solution

The fourth proportional to 30,778.56, 46,168.29 and 9,717.75 is: 14,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.56 : 46,168.29 = 9,717.75 : x
  2. Step 2: Convert to fraction form
    30,778.56/46,168.29 = 9,717.75/x
  3. Step 3: Cross multiply
    30,778.56x = 46,168.29 × 9,717.75
  4. Step 4: Simplify right side
    30,778.56x = 448,651,900.15
  5. Step 5: Solve for x
    x = 448,651,900.15/30,778.56
  6. Step 6: Final answer
    x = 14,576.77

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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.