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Finding the Fourth Proportional to 32,007.20, 47,949.60 and 17,211.20

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Solution

The fourth proportional to 32,007.20, 47,949.60 and 17,211.20 is: 25,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.20 : 47,949.60 = 17,211.20 : x
  2. Step 2: Convert to fraction form
    32,007.20/47,949.60 = 17,211.20/x
  3. Step 3: Cross multiply
    32,007.20x = 47,949.60 × 17,211.20
  4. Step 4: Simplify right side
    32,007.20x = 825,270,155.52
  5. Step 5: Solve for x
    x = 825,270,155.52/32,007.20
  6. Step 6: Final answer
    x = 25,783.89

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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.