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Finding the Fourth Proportional to 38,417.49, 57,635.96 and 16,219.44

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Solution

The fourth proportional to 38,417.49, 57,635.96 and 16,219.44 is: 24,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.49 : 57,635.96 = 16,219.44 : x
  2. Step 2: Convert to fraction form
    38,417.49/57,635.96 = 16,219.44/x
  3. Step 3: Cross multiply
    38,417.49x = 57,635.96 × 16,219.44
  4. Step 4: Simplify right side
    38,417.49x = 934,822,913.97
  5. Step 5: Solve for x
    x = 934,822,913.97/38,417.49
  6. Step 6: Final answer
    x = 24,333.26

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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.