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Finding the Fourth Proportional to 32,825.60, 49,226.40 and 10,644.80

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Solution

The fourth proportional to 32,825.60, 49,226.40 and 10,644.80 is: 15,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.60 : 49,226.40 = 10,644.80 : x
  2. Step 2: Convert to fraction form
    32,825.60/49,226.40 = 10,644.80/x
  3. Step 3: Cross multiply
    32,825.60x = 49,226.40 × 10,644.80
  4. Step 4: Simplify right side
    32,825.60x = 524,005,182.72
  5. Step 5: Solve for x
    x = 524,005,182.72/32,825.60
  6. Step 6: Final answer
    x = 15,963.31

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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.