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Finding the Fourth Proportional to 31,245.33, 46,871.90 and 10,187.49

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Solution

The fourth proportional to 31,245.33, 46,871.90 and 10,187.49 is: 15,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.33 : 46,871.90 = 10,187.49 : x
  2. Step 2: Convert to fraction form
    31,245.33/46,871.90 = 10,187.49/x
  3. Step 3: Cross multiply
    31,245.33x = 46,871.90 × 10,187.49
  4. Step 4: Simplify right side
    31,245.33x = 477,507,012.53
  5. Step 5: Solve for x
    x = 477,507,012.53/31,245.33
  6. Step 6: Final answer
    x = 15,282.51

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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.