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Finding the Fourth Proportional to 32,005.20, 47,946.60 and 17,209.20

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Solution

The fourth proportional to 32,005.20, 47,946.60 and 17,209.20 is: 25,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.20 : 47,946.60 = 17,209.20 : x
  2. Step 2: Convert to fraction form
    32,005.20/47,946.60 = 17,209.20/x
  3. Step 3: Cross multiply
    32,005.20x = 47,946.60 × 17,209.20
  4. Step 4: Simplify right side
    32,005.20x = 825,122,628.72
  5. Step 5: Solve for x
    x = 825,122,628.72/32,005.20
  6. Step 6: Final answer
    x = 25,780.89

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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.