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Finding the Fourth Proportional to 30,800.48, 42,506.11 and 17,371.45

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Solution

The fourth proportional to 30,800.48, 42,506.11 and 17,371.45 is: 23,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.48 : 42,506.11 = 17,371.45 : x
  2. Step 2: Convert to fraction form
    30,800.48/42,506.11 = 17,371.45/x
  3. Step 3: Cross multiply
    30,800.48x = 42,506.11 × 17,371.45
  4. Step 4: Simplify right side
    30,800.48x = 738,392,764.56
  5. Step 5: Solve for x
    x = 738,392,764.56/30,800.48
  6. Step 6: Final answer
    x = 23,973.42

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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.