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Finding the Fourth Proportional to 32,160.30, 48,245.11 and 9,975.45

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Solution

The fourth proportional to 32,160.30, 48,245.11 and 9,975.45 is: 14,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.30 : 48,245.11 = 9,975.45 : x
  2. Step 2: Convert to fraction form
    32,160.30/48,245.11 = 9,975.45/x
  3. Step 3: Cross multiply
    32,160.30x = 48,245.11 × 9,975.45
  4. Step 4: Simplify right side
    32,160.30x = 481,266,778.22
  5. Step 5: Solve for x
    x = 481,266,778.22/32,160.30
  6. Step 6: Final answer
    x = 14,964.63

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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.