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Finding the Fourth Proportional to 32,147.40, 48,138.46 and 21,021.64

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Solution

The fourth proportional to 32,147.40, 48,138.46 and 21,021.64 is: 31,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.40 : 48,138.46 = 21,021.64 : x
  2. Step 2: Convert to fraction form
    32,147.40/48,138.46 = 21,021.64/x
  3. Step 3: Cross multiply
    32,147.40x = 48,138.46 × 21,021.64
  4. Step 4: Simplify right side
    32,147.40x = 1,011,949,376.27
  5. Step 5: Solve for x
    x = 1,011,949,376.27/32,147.40
  6. Step 6: Final answer
    x = 31,478.42

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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.