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Finding the Fourth Proportional to 32,298.57, 48,453.26 and 10,107.54

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Solution

The fourth proportional to 32,298.57, 48,453.26 and 10,107.54 is: 15,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.57 : 48,453.26 = 10,107.54 : x
  2. Step 2: Convert to fraction form
    32,298.57/48,453.26 = 10,107.54/x
  3. Step 3: Cross multiply
    32,298.57x = 48,453.26 × 10,107.54
  4. Step 4: Simplify right side
    32,298.57x = 489,743,213.04
  5. Step 5: Solve for x
    x = 489,743,213.04/32,298.57
  6. Step 6: Final answer
    x = 15,163.00

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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.