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Finding the Fourth Proportional to 30,800.11, 42,505.60 and 17,371.08

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Solution

The fourth proportional to 30,800.11, 42,505.60 and 17,371.08 is: 23,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.11 : 42,505.60 = 17,371.08 : x
  2. Step 2: Convert to fraction form
    30,800.11/42,505.60 = 17,371.08/x
  3. Step 3: Cross multiply
    30,800.11x = 42,505.60 × 17,371.08
  4. Step 4: Simplify right side
    30,800.11x = 738,368,178.05
  5. Step 5: Solve for x
    x = 738,368,178.05/30,800.11
  6. Step 6: Final answer
    x = 23,972.91

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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.