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Finding the Fourth Proportional to 32,201.90, 48,297.37 and 8,509.72

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Solution

The fourth proportional to 32,201.90, 48,297.37 and 8,509.72 is: 12,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.90 : 48,297.37 = 8,509.72 : x
  2. Step 2: Convert to fraction form
    32,201.90/48,297.37 = 8,509.72/x
  3. Step 3: Cross multiply
    32,201.90x = 48,297.37 × 8,509.72
  4. Step 4: Simplify right side
    32,201.90x = 410,997,095.44
  5. Step 5: Solve for x
    x = 410,997,095.44/32,201.90
  6. Step 6: Final answer
    x = 12,763.13

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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.