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Finding the Fourth Proportional to 30,917.50, 46,379.89 and 9,850.21

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Solution

The fourth proportional to 30,917.50, 46,379.89 and 9,850.21 is: 14,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.50 : 46,379.89 = 9,850.21 : x
  2. Step 2: Convert to fraction form
    30,917.50/46,379.89 = 9,850.21/x
  3. Step 3: Cross multiply
    30,917.50x = 46,379.89 × 9,850.21
  4. Step 4: Simplify right side
    30,917.50x = 456,851,552.64
  5. Step 5: Solve for x
    x = 456,851,552.64/30,917.50
  6. Step 6: Final answer
    x = 14,776.47

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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.