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Finding the Fourth Proportional to 30,772.40, 46,245.15 and 18,294.66

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Solution

The fourth proportional to 30,772.40, 46,245.15 and 18,294.66 is: 27,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.40 : 46,245.15 = 18,294.66 : x
  2. Step 2: Convert to fraction form
    30,772.40/46,245.15 = 18,294.66/x
  3. Step 3: Cross multiply
    30,772.40x = 46,245.15 × 18,294.66
  4. Step 4: Simplify right side
    30,772.40x = 846,039,295.90
  5. Step 5: Solve for x
    x = 846,039,295.90/30,772.40
  6. Step 6: Final answer
    x = 27,493.45

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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.