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Finding the Fourth Proportional to 32,030.20, 47,984.10 and 17,234.20

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Solution

The fourth proportional to 32,030.20, 47,984.10 and 17,234.20 is: 25,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.20 : 47,984.10 = 17,234.20 : x
  2. Step 2: Convert to fraction form
    32,030.20/47,984.10 = 17,234.20/x
  3. Step 3: Cross multiply
    32,030.20x = 47,984.10 × 17,234.20
  4. Step 4: Simplify right side
    32,030.20x = 826,967,576.22
  5. Step 5: Solve for x
    x = 826,967,576.22/32,030.20
  6. Step 6: Final answer
    x = 25,818.37

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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.