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Finding the Fourth Proportional to 32,160.26, 48,245.06 and 9,975.42

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Solution

The fourth proportional to 32,160.26, 48,245.06 and 9,975.42 is: 14,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.26 : 48,245.06 = 9,975.42 : x
  2. Step 2: Convert to fraction form
    32,160.26/48,245.06 = 9,975.42/x
  3. Step 3: Cross multiply
    32,160.26x = 48,245.06 × 9,975.42
  4. Step 4: Simplify right side
    32,160.26x = 481,264,736.43
  5. Step 5: Solve for x
    x = 481,264,736.43/32,160.26
  6. Step 6: Final answer
    x = 14,964.58

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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.