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Finding the Fourth Proportional to 30,826.70, 46,239.75 and 9,766.68

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Solution

The fourth proportional to 30,826.70, 46,239.75 and 9,766.68 is: 14,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.70 : 46,239.75 = 9,766.68 : x
  2. Step 2: Convert to fraction form
    30,826.70/46,239.75 = 9,766.68/x
  3. Step 3: Cross multiply
    30,826.70x = 46,239.75 × 9,766.68
  4. Step 4: Simplify right side
    30,826.70x = 451,608,841.53
  5. Step 5: Solve for x
    x = 451,608,841.53/30,826.70
  6. Step 6: Final answer
    x = 14,649.93

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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.