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Finding the Fourth Proportional to 31,820.70, 47,731.05 and 16,236.30

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Solution

The fourth proportional to 31,820.70, 47,731.05 and 16,236.30 is: 24,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.70 : 47,731.05 = 16,236.30 : x
  2. Step 2: Convert to fraction form
    31,820.70/47,731.05 = 16,236.30/x
  3. Step 3: Cross multiply
    31,820.70x = 47,731.05 × 16,236.30
  4. Step 4: Simplify right side
    31,820.70x = 774,975,647.12
  5. Step 5: Solve for x
    x = 774,975,647.12/31,820.70
  6. Step 6: Final answer
    x = 24,354.45

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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.