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Finding the Fourth Proportional to 30,914.41, 46,375.02 and 9,849.55

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Solution

The fourth proportional to 30,914.41, 46,375.02 and 9,849.55 is: 14,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.41 : 46,375.02 = 9,849.55 : x
  2. Step 2: Convert to fraction form
    30,914.41/46,375.02 = 9,849.55/x
  3. Step 3: Cross multiply
    30,914.41x = 46,375.02 × 9,849.55
  4. Step 4: Simplify right side
    30,914.41x = 456,773,078.24
  5. Step 5: Solve for x
    x = 456,773,078.24/30,914.41
  6. Step 6: Final answer
    x = 14,775.41

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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.