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Finding the Fourth Proportional to 30,758.56, 42,446.82 and 16,611.41

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Solution

The fourth proportional to 30,758.56, 42,446.82 and 16,611.41 is: 22,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.56 : 42,446.82 = 16,611.41 : x
  2. Step 2: Convert to fraction form
    30,758.56/42,446.82 = 16,611.41/x
  3. Step 3: Cross multiply
    30,758.56x = 42,446.82 × 16,611.41
  4. Step 4: Simplify right side
    30,758.56x = 705,101,424.10
  5. Step 5: Solve for x
    x = 705,101,424.10/30,758.56
  6. Step 6: Final answer
    x = 22,923.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.