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Finding the Fourth Proportional to 32,160.78, 48,245.84 and 9,975.95

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Solution

The fourth proportional to 32,160.78, 48,245.84 and 9,975.95 is: 14,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.78 : 48,245.84 = 9,975.95 : x
  2. Step 2: Convert to fraction form
    32,160.78/48,245.84 = 9,975.95/x
  3. Step 3: Cross multiply
    32,160.78x = 48,245.84 × 9,975.95
  4. Step 4: Simplify right side
    32,160.78x = 481,297,796.44
  5. Step 5: Solve for x
    x = 481,297,796.44/32,160.78
  6. Step 6: Final answer
    x = 14,965.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.