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Finding the Fourth Proportional to 31,600.40, 47,376.60 and 16,029.20

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Solution

The fourth proportional to 31,600.40, 47,376.60 and 16,029.20 is: 24,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.40 : 47,376.60 = 16,029.20 : x
  2. Step 2: Convert to fraction form
    31,600.40/47,376.60 = 16,029.20/x
  3. Step 3: Cross multiply
    31,600.40x = 47,376.60 × 16,029.20
  4. Step 4: Simplify right side
    31,600.40x = 759,408,996.72
  5. Step 5: Solve for x
    x = 759,408,996.72/31,600.40
  6. Step 6: Final answer
    x = 24,031.63

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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.