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Finding the Fourth Proportional to 30,727.80, 46,091.84 and 10,737.20

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Solution

The fourth proportional to 30,727.80, 46,091.84 and 10,737.20 is: 16,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.80 : 46,091.84 = 10,737.20 : x
  2. Step 2: Convert to fraction form
    30,727.80/46,091.84 = 10,737.20/x
  3. Step 3: Cross multiply
    30,727.80x = 46,091.84 × 10,737.20
  4. Step 4: Simplify right side
    30,727.80x = 494,897,304.45
  5. Step 5: Solve for x
    x = 494,897,304.45/30,727.80
  6. Step 6: Final answer
    x = 16,105.85

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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.