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Finding the Fourth Proportional to 30,910.78, 46,365.65 and 9,850.53

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Solution

The fourth proportional to 30,910.78, 46,365.65 and 9,850.53 is: 14,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.78 : 46,365.65 = 9,850.53 : x
  2. Step 2: Convert to fraction form
    30,910.78/46,365.65 = 9,850.53/x
  3. Step 3: Cross multiply
    30,910.78x = 46,365.65 × 9,850.53
  4. Step 4: Simplify right side
    30,910.78x = 456,726,226.29
  5. Step 5: Solve for x
    x = 456,726,226.29/30,910.78
  6. Step 6: Final answer
    x = 14,775.63

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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.