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Finding the Fourth Proportional to 32,976, 49,478.40 and 12,193.92

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Solution

The fourth proportional to 32,976, 49,478.40 and 12,193.92 is: 18,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 49,478.40 = 12,193.92 : x
  2. Step 2: Convert to fraction form
    32,976/49,478.40 = 12,193.92/x
  3. Step 3: Cross multiply
    32,976x = 49,478.40 × 12,193.92
  4. Step 4: Simplify right side
    32,976x = 603,335,651.33
  5. Step 5: Solve for x
    x = 603,335,651.33/32,976
  6. Step 6: Final answer
    x = 18,296.20

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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.