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Finding the Fourth Proportional to 38,602.62, 57,889.35 and 16,426.44

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Solution

The fourth proportional to 38,602.62, 57,889.35 and 16,426.44 is: 24,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.62 : 57,889.35 = 16,426.44 : x
  2. Step 2: Convert to fraction form
    38,602.62/57,889.35 = 16,426.44/x
  3. Step 3: Cross multiply
    38,602.62x = 57,889.35 × 16,426.44
  4. Step 4: Simplify right side
    38,602.62x = 950,915,934.41
  5. Step 5: Solve for x
    x = 950,915,934.41/38,602.62
  6. Step 6: Final answer
    x = 24,633.46

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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.