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Finding the Fourth Proportional to 32,017.20, 48,004.20 and 15,385.20

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Solution

The fourth proportional to 32,017.20, 48,004.20 and 15,385.20 is: 23,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.20 : 48,004.20 = 15,385.20 : x
  2. Step 2: Convert to fraction form
    32,017.20/48,004.20 = 15,385.20/x
  3. Step 3: Cross multiply
    32,017.20x = 48,004.20 × 15,385.20
  4. Step 4: Simplify right side
    32,017.20x = 738,554,217.84
  5. Step 5: Solve for x
    x = 738,554,217.84/32,017.20
  6. Step 6: Final answer
    x = 23,067.42

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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.