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Finding the Fourth Proportional to 38,641.60, 57,915.60 and 16,408.30

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Solution

The fourth proportional to 38,641.60, 57,915.60 and 16,408.30 is: 24,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.60 : 57,915.60 = 16,408.30 : x
  2. Step 2: Convert to fraction form
    38,641.60/57,915.60 = 16,408.30/x
  3. Step 3: Cross multiply
    38,641.60x = 57,915.60 × 16,408.30
  4. Step 4: Simplify right side
    38,641.60x = 950,296,539.48
  5. Step 5: Solve for x
    x = 950,296,539.48/38,641.60
  6. Step 6: Final answer
    x = 24,592.58

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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.